GATE Overflow - Recent questions in Probability
http://gateoverflow.in/questions/mathematics/probability
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http://gateoverflow.in/108713/probability
Suppose that a link between two telephone offices has 50 (Fifty) repeaters.<br />
Suppose that the probability that a repeater fails during a year is 0.01, and<br />
that repeaters fail independently of each other.<br />
<br />
Suppose to reduce overall link cost we took a decision to reduce the number<br />
of repeaters from 50 (Fifty) to 10 (Ten), calculate the probability that single<br />
repeater does not fail during one year will be :<br />
(A) 0.110 (B) 0.120<br />
(C) 0.990 (D) 0.001Probabilityhttp://gateoverflow.in/108713/probabilitySat, 21 Jan 2017 10:38:46 +0000probability
http://gateoverflow.in/108712/probability
Suppose that a link between two telephone offices has 50 (Fifty) repeaters.<br />
Suppose that the probability that a repeater fails during a year is 0.01, and<br />
that repeaters fail independently of each other.<br />
Q In one year, what is the probability that link does not fail at all will be<br />
approximately :<br />
(A) 0.605 (B) 0.011<br />
(C) 0.901 (D) 0.995Probabilityhttp://gateoverflow.in/108712/probabilitySat, 21 Jan 2017 10:36:59 +0000probability
http://gateoverflow.in/107943/probability
Consider four coins, three of which are fair, that is they have heads on one side and tails on the other and both are equally likely to occur in a toss. The fourth coin has tails on both sides. Given that one coin amongst the four is picked at random and is tossed, and the outcome is seen to be tail, what is the probability that its other side is headsProbabilityhttp://gateoverflow.in/107943/probabilityThu, 19 Jan 2017 12:37:58 +0000probability
http://gateoverflow.in/107872/probability
If two cards are drawn from a pack of 52 cards, which are diamonds. Using Poissons distribution find the probability of getting two diamonds at least 3 times in 51 consecutive trials of two cards drawing each time _________Probabilityhttp://gateoverflow.in/107872/probabilityThu, 19 Jan 2017 09:05:53 +0000Virtual Gate 2016-mock-1 Question 37
http://gateoverflow.in/107380/virtual-gate-2016-mock-1-question-37
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=12401454171743204172"></p>Probabilityhttp://gateoverflow.in/107380/virtual-gate-2016-mock-1-question-37Wed, 18 Jan 2017 08:51:55 +0000Testbook
http://gateoverflow.in/106968/testbook
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=1097749025159929547"></p>Probabilityhttp://gateoverflow.in/106968/testbookTue, 17 Jan 2017 13:26:24 +0000Maths: Probability Que011
http://gateoverflow.in/106961/maths-probability-que011
<p>(i) Three <span class="marker">identical </span>dice are rolled. the probability that the same number will appear on each of them is___
<br>
A. 1/6 B.1/36 C.1/18 D.3/28
<br>
<br>
(iI) Three <span class="marker">Distinct</span> dice are rolled. the probability that the same number will appear on each of them is___
<br>
<br>
</p>Probabilityhttp://gateoverflow.in/106961/maths-probability-que011Tue, 17 Jan 2017 13:20:51 +0000Gate-2006, CE
http://gateoverflow.in/106695/gate-2006-ce
There are 25 calculators in a box. Two of them are defective. Suppose 5 calculators are randomly picked for inspection (i.e., each has the same chance of being selected), what is the probability that only one of the defective calculators will be included in the inspection?<br />
<br />
can we do it by both hypergeometric as well as by binomial distribution?Probabilityhttp://gateoverflow.in/106695/gate-2006-ceTue, 17 Jan 2017 06:19:23 +0000Ace Pre Gate 2017
http://gateoverflow.in/106253/ace-pre-gate-2017
<p> </p>
<p> </p>
<p><big>All elements of a 2x2 matrix "A" can have values either 0 or 1. The probability that any element gets a value (0 or 1) is 1/2. If all elements of this matrix are chosen at random, what is the probability that the determinant of this matrix is positive?</big></p>Probabilityhttp://gateoverflow.in/106253/ace-pre-gate-2017Mon, 16 Jan 2017 07:24:59 +0000what is the probability that the mother could have had the very long or very short pregnancy
http://gateoverflow.in/104579/what-probability-mother-could-very-long-very-short-pregnancy
<p>An expert witness in a paternity suit testifies that the length (in days) of distributed with parameters μ=270 and σ^2=100. The defendant in the suit is able to prove that he was out of the country during a period that began 290 days before the birth of the child and ended 240 days before birth.
<br>
If the defendant was in fact, the father of the child, what is the probability that the mother could have had the very long or very short pregnancy indicated by the testimony?</p>
<ol>
<li> 0.241</li>
<li> 0.0241</li>
</ol>
<p> </p>
<p>how to solve such questions??</p>Probabilityhttp://gateoverflow.in/104579/what-probability-mother-could-very-long-very-short-pregnancyThu, 12 Jan 2017 13:54:30 +0000findthe probability that all the customers that arrive at the shop within the first 10 minutes, all bought product A?
http://gateoverflow.in/104543/findthe-probability-customers-arrive-minutes-bought-product
<p>Customers arrive at a shop according to a Poisson process at rate λ (/min), where they choose to buy either product A (with probability P) or product B (with probability 1 – P), independently. Given that during the first hour 5 customers chose product B, what is the probability that all the customers that arrive at the shop within the first 10 minutes, all bought product A?</p>
<ol>
<li> 60%</li>
<li> 70%</li>
<li> 30%</li>
<li> 40%</li>
</ol>Probabilityhttp://gateoverflow.in/104543/findthe-probability-customers-arrive-minutes-bought-productThu, 12 Jan 2017 13:10:51 +0000Maths: Probability Distribution Que01
http://gateoverflow.in/104418/maths-probability-distribution-que01
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=15533185615533012495"></p>Probabilityhttp://gateoverflow.in/104418/maths-probability-distribution-que01Thu, 12 Jan 2017 08:14:34 +0000Gate 2005 EE
http://gateoverflow.in/104075/gate-2005-ee
If P and Q are two random events, then the following is TRUE:<br />
<br />
A] Independence of P and Q implies that probability (P ∩ Q) = 0<br />
B] Probability (P ∪ Q) ≥ Probability (P) + Probability (Q)<br />
C] If P and Q are mutually exclusive, then they must be independent<br />
D] Probability (P ∩ Q) ≤ Probability (P)Probabilityhttp://gateoverflow.in/104075/gate-2005-eeWed, 11 Jan 2017 13:22:45 +0000Poisson Distribution Problem
http://gateoverflow.in/103721/poisson-distribution-problem
<p><img alt="" height="180" src="http://gateoverflow.in/?qa=blob&qa_blobid=6116508025690535645" width="754"></p>Probabilityhttp://gateoverflow.in/103721/poisson-distribution-problemTue, 10 Jan 2017 17:41:11 +0000probability
http://gateoverflow.in/102674/probability
Suppose Xi for i=1,2,3 are independent and identically distributed random variables whose probability mass functions are Pr[Xi=0]=Pr[Xi=1]=12 for i=1,2,3. Define another random variable Y=X1X2⊕X3, where ⊕ denotes XOR. Then Pr[Y=0∣X3=0]=______.Probabilityhttp://gateoverflow.in/102674/probabilitySun, 08 Jan 2017 12:23:06 +0000probability
http://gateoverflow.in/102670/probability
<p>Let S be a sample space and two mutually exclusive events Aand B be such that A∪B=A∪B=S. If P(.)denotes the <a rel="nofollow" href="http://gateoverflow.in/2082/gate2014-3_48#">probability</a> of the event, the maximum value of P(A)P(B) is_____.</p>Probabilityhttp://gateoverflow.in/102670/probabilitySun, 08 Jan 2017 12:14:53 +0000ace-test-series
http://gateoverflow.in/101887/ace-test-series
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=10593045386689658062"></p>
<p>According to my understanding, there should be men and women both in the team. So we can do:
<br>
3M and 1W or
<br>
2M and 2W or
<br>
1M and 3W.</p>
<p>So it will be: C(5,3)*C(5,1)+C(5,2)*C(5,2)+C(5,1)*C(5,3).</p>
<p>But the answer given is 600. How is it possible?</p>Probabilityhttp://gateoverflow.in/101887/ace-test-seriesSat, 07 Jan 2017 05:08:07 +0000Probablity Knockout Round
http://gateoverflow.in/101459/probablity-knockout-round
In a knockout tournament $2^n$ equally skilled players;S1,S2,...,S2^n are participating.In each round players are divided in pair at random and winner from each pair moves in the next round.If S2 reaches the semi-final then the probability that S1 wins ?<br />
<br />
Could someone please help with hints/approach to solve this?Probabilityhttp://gateoverflow.in/101459/probablity-knockout-roundFri, 06 Jan 2017 08:55:25 +0000U and V are two independent zero mean Gaussian random variables of variances 1/4 and 1/ 9. The probability P(3V 2U) is
http://gateoverflow.in/101404/independent-gaussian-random-variables-variances-probability
Probabilityhttp://gateoverflow.in/101404/independent-gaussian-random-variables-variances-probabilityFri, 06 Jan 2017 07:03:30 +0000Help me to understand the question
http://gateoverflow.in/99287/help-me-to-understand-the-question
<p>Suppose <em>X</em><em>i</em> for <em>i</em>=1,2,3 are independent and identically distributed random variables whose probability mass functions are <em>P</em><em>r</em>[<em>X</em><em>i</em>=0]=<em>P</em><em>r</em>[<em>X</em><em>i</em>=1]=1/2 for <em>i</em>=1,2,3. Define another random variable <em>Y</em>=<em>X</em>1<em>X</em>2⊕<em>X</em>3, where ⊕ denotes XOR. Then <em>P</em><em>r</em>[<em>Y</em>=0∣<em>X</em>3=0]=_</p>
<p>I got answer but not question .</p>
<p>can nyone describe only question ?</p>Probabilityhttp://gateoverflow.in/99287/help-me-to-understand-the-questionMon, 02 Jan 2017 00:45:14 +0000Poisson Distribution
http://gateoverflow.in/98952/poisson-distribution
If 20 markers are drawn from a large number of markers in which 10% are red markers. What is the probability that the number of red markers drawn exceeds the expected number of red markers. (Use Poisson approximation and Binomial theorem). (Upto 3 decimal places)Probabilityhttp://gateoverflow.in/98952/poisson-distributionSat, 31 Dec 2016 16:22:53 +0000Probability
http://gateoverflow.in/98782/probability
<p><em>In a boxing tournament 2<sup>n</sup> equally skilled players P<sub>1</sub>,P<sub>2</sub>,P<sub>3</sub>...........P<sub>$2^{n}$</sub>, are participating.</em></p>
<p><em>In each round players are divided in pairs at random and winner from each pair moves in next round. If P<sub>5</sub> reaches the semifinals then what is the probability that P<sub>1</sub> wins the tournament?</em></p>
<p><em>A. $(\frac{1}{2})^{logn}$</em></p>
<p><em>B. $\frac{2^{logn-1}}{2^{n}-1}$</em></p>
<p><em>C. $\frac{3}{4} * \frac{1}{2^{n}-1}$</em></p>
<p><em>D. $\frac{7}{8} * \frac{1}{2^{n}-1}$</em></p>Probabilityhttp://gateoverflow.in/98782/probabilitySat, 31 Dec 2016 08:05:38 +0000Probability Distribution: PDF
http://gateoverflow.in/98341/probability-distribution-pdf
<p>Que:-
<br>
The variance of the random variable X with P.D.F f(x)=0.5|x| e<sup>-|x|</sup> is ___?</p>Probabilityhttp://gateoverflow.in/98341/probability-distribution-pdfFri, 30 Dec 2016 06:30:38 +0000http://gateoverflow.in/1177/gate2005-52
http://gateoverflow.in/98157/http-gateoverflow-in-1177-gate2005-52
How many 2 strings of length n are generated by tossing a coin n times?(Setting value 0 or 1)<br />
<br />
Is it (2^n+2^n) or (2^n*2^n)?Probabilityhttp://gateoverflow.in/98157/http-gateoverflow-in-1177-gate2005-52Thu, 29 Dec 2016 15:35:46 +0000Is question correct
http://gateoverflow.in/98044/is-question-correct
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=6642063420963741049"></p>Probabilityhttp://gateoverflow.in/98044/is-question-correctThu, 29 Dec 2016 07:18:54 +0000probability
http://gateoverflow.in/97608/probability
<p>1)For three events A, B and C, we know that</p>
<ul>
<li>A and C are independent
<br>
B and C are independent
<br>
A and B are disjoint
<br>
P(A∪C)=2/3 P(B∪C)=3/4 P(A∪B∪C)=11/12</li>
</ul>
<p>
<br>
P(A)=___________ ans 1/3</p>
<p> </p>
<p>2)Consider independent trails consisting of rolling a pair of fair dice, over and over. What is the probability that a sum of 5 appears before sum of 7? ans 2/5</p>
<p> </p>Probabilityhttp://gateoverflow.in/97608/probabilityWed, 28 Dec 2016 05:41:14 +0000probability
http://gateoverflow.in/97605/probability
<p>players P<sub>1</sub>,P<sub>2</sub>,P<sub>3</sub>……… P<sub>16</sub> play in a tournament. They are divided into eight pairs at random, from each pair a winner is decided on the basis of a game played between the two players of the pairs. Assuming that all the players are of equal strength, the probability that exactly one of the two players P<sub>1</sub> and P<sub>2</sub> is among the eight winners is ________.ans 8/15</p>Probabilityhttp://gateoverflow.in/97605/probabilityWed, 28 Dec 2016 05:34:52 +0000virtual gate
http://gateoverflow.in/97530/virtual-gate
If we take out two Aces from a standard deck of 52 cards. How many ways are there to select three more cards from the remaining 50, in such a way that the five cards together form a full house (3 of one kind, 2 of another)?Probabilityhttp://gateoverflow.in/97530/virtual-gateTue, 27 Dec 2016 18:49:05 +0000probability
http://gateoverflow.in/97406/probability
<p>1) A total of 46% of the voters in a certain city classify themselves as Independents, where as 30% classify themselves as Liberals and 24% say they are Conservatives. In s recent local election, 35% of the Independents, 62% of the Liberals and 58% of the Conservatives voted. A voter is chosen at random. Given that this person voted in the local election, the probability that he or she is an Independent is _________ ans 0.331</p>
<p>2) A family has children with probability P_i where P<sub>1</sub>=0.01,P<sub>2</sub>=0.25,P<sub>3</sub>=0.35,P<sub>4</sub>=0.3. A child from this family is randomly chosen. Given that this child is the eldest child in the family, the conditional probability that the family has 4 children _______.ans 0.18</p>
<p> </p>Probabilityhttp://gateoverflow.in/97406/probabilityTue, 27 Dec 2016 14:34:06 +0000Maths
http://gateoverflow.in/96482/maths
There are 2 white and 4 black balls in urn A; in urn B, there are 4 white and 7 black balls. If one ball is randomly replaced from A into B and a ball is drawn from B then find the probability for the ball to be a white one?Probabilityhttp://gateoverflow.in/96482/mathsSun, 25 Dec 2016 07:51:58 +0000Made Easy doubt
http://gateoverflow.in/95889/made-easy-doubt
A fair coin is tossed until the same result turns up in succession(two head or two tail).Find the probability the number of tosses neede are even..<br />
<br />
my approach ..P={P(x=2)+P(x=4)+P(x=6)+...}=0.33<br />
<br />
Me answer 2*{P(x=2)+P(x=4)+P(x=6)+...}=0.66<br />
<br />
what is the reason of this 2 multiplication?Probabilityhttp://gateoverflow.in/95889/made-easy-doubtFri, 23 Dec 2016 15:04:44 +0000TIFR2017-A-9
http://gateoverflow.in/95042/tifr2017-a-9
<p>Consider the $majority$ function on three bits, $\textbf{maj}: \{0, 1\}^3 \rightarrow \{0, 1\}$ where $\textbf{maj}(x_1, x_2, x_3)=1$ if and only if $x_1+x_2+x_3 \geq 2$. Let $p(\alpha)$ be the probability that the output is 1 when each input is set to 1 independently with probability $\alpha$. What is $p'(\alpha) = \frac{d}{d\alpha} p (\alpha)$?</p>
<ol style="list-style-type:upper-alpha">
<li>$3 \alpha$</li>
<li>$\alpha^2$</li>
<li>$6\alpha(1-\alpha)$</li>
<li>$3\alpha^2 (1-\alpha)$</li>
<li>$6\alpha(1-\alpha)+\alpha^2$</li>
</ol>Probabilityhttp://gateoverflow.in/95042/tifr2017-a-9Wed, 21 Dec 2016 12:17:30 +0000testbook test series
http://gateoverflow.in/94508/testbook-test-series
What is the variance of random variable X whose value when two fair dice are rolled is X((i,j)) = i + j , where i and j are the numbers appearing on the first and second die respectively ? <br />
<br />
a) 35/6<br />
<br />
b) 49/4<br />
<br />
c) 91/6<br />
<br />
d) 35/12Probabilityhttp://gateoverflow.in/94508/testbook-test-seriesMon, 19 Dec 2016 17:09:50 +0000Probability ,Settheory.
http://gateoverflow.in/94195/probability-settheory
<p>$1)$ A random selector can only select one of the nine integers $\left \{ 1,2,.....,9 \right \}$ and it makes these selections with equal probability,Assume that $n$ numbers are chosen this way.Find the probability such that the product of $n$ numbers selected is not divisible by $3$.</p>
<hr>
<p>$2)$ Let S = {1, 2, . . . , n} then Find |{(R, T) : R, T ⊆ S, R ∩ T = ∅}| = ? </p>Probabilityhttp://gateoverflow.in/94195/probability-settheoryMon, 19 Dec 2016 01:19:22 +0000Expected value
http://gateoverflow.in/93587/expected-value
<p>in C language <code>rand() </code>returns a random integer number. Following is a function definition.</p>
<pre class="prettyprint lang-c_cpp">
int f() {
return (rand() & 1) ? 1:0;
}</pre>
<p>Then what will be the expected value of <code>count </code>?</p>
<pre class="prettyprint lang-">
count = 0;
for(i=1;i<=n;i++) {
if(f() && f()) {
count++;
}
}</pre>
<p>& is <a rel="nofollow" href="https://www.tutorialspoint.com/cprogramming/c_bitwise_operators.htm">bitwise AND</a></p>
<p>&& is<a rel="nofollow" href="https://www.tutorialspoint.com/cprogramming/c_logical_operators.htm"> logical AND</a></p>
<p>and assume required seed has been initialized.</p>Probabilityhttp://gateoverflow.in/93587/expected-valueSat, 17 Dec 2016 05:04:39 +0000Permutation Combination
http://gateoverflow.in/93186/permutation-combination
If I arrange all 4 digit number format in ascending order then find the rank of the number 3582?Probabilityhttp://gateoverflow.in/93186/permutation-combinationThu, 15 Dec 2016 20:43:19 +0000Probablity Problem
http://gateoverflow.in/92147/probablity-problem
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=10164723110967199414"></p>Probabilityhttp://gateoverflow.in/92147/probablity-problemMon, 12 Dec 2016 17:21:23 +0000Poisson Distributions
http://gateoverflow.in/91845/poisson-distributions
<p>Customers arrive at a shop according to a Poisson process at rate λ (/min), where they choose to buy either product A (with probability P) or product B (with probability 1 – P), independently. Given that during the first hour 5 customers chose product B, what is the probability that all the customers that arrive at the shop within the first 10 minutes, all bought product A?</p>
<ol>
<li> 60%</li>
<li> 70%</li>
<li> 30%</li>
<li> 40%</li>
</ol>Probabilityhttp://gateoverflow.in/91845/poisson-distributionsSun, 11 Dec 2016 18:32:07 +0000Probability Density Function
http://gateoverflow.in/91759/probability-density-function
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=5827604208669794200"></p>Probabilityhttp://gateoverflow.in/91759/probability-density-functionSun, 11 Dec 2016 12:25:36 +0000counting
http://gateoverflow.in/90914/counting
A person has 8 friends, of whom 5 will be invited to a party.How many choices if 2 of the friends will only attend together??Probabilityhttp://gateoverflow.in/90914/countingFri, 09 Dec 2016 00:06:36 +0000probability solve
http://gateoverflow.in/88771/probability-solve
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=8940413993024753240"></p>Probabilityhttp://gateoverflow.in/88771/probability-solveFri, 02 Dec 2016 08:45:38 +00002 bulbs out of a sample of 10 bulbs manufactured by a company are defective.
http://gateoverflow.in/88215/bulbs-out-sample-bulbs-manufactured-company-are-defective
2 bulbs out of a sample of 10 bulbs manufactured by a company are defective. The probability that 3 out of 4 bulbs bought by a customer will not be defective isProbabilityhttp://gateoverflow.in/88215/bulbs-out-sample-bulbs-manufactured-company-are-defectiveWed, 30 Nov 2016 18:08:13 +0000GATE1989-4-viii
http://gateoverflow.in/88156/gate1989-4-viii
Provide short answers to the following questions:<br />
<br />
$P_{n} (t)$ is the probability of $n$ events occuring during a time interval $t$. How will you express $P_{0} (t + h)$ in terms of $P_{0} (h)$, if $P_{0} (t)$ has stationary independent increments? (Note: $P_{t} (t)$is the probability density function).Probabilityhttp://gateoverflow.in/88156/gate1989-4-viiiWed, 30 Nov 2016 14:47:26 +0000Consider a post office that is staffed by two clerks. Suppose that when Miss. Granger enters the system
http://gateoverflow.in/87637/consider-office-staffed-clerks-suppose-granger-enters-system
<p>Consider a post office that is staffed by two clerks. Suppose that when Miss. Granger enters the system, she discovers that Mr. Harry is being served by one of the clerks and Mr. Ron by other.
<br>
Suppose also that Miss Granger is told that her service will begin as soon as either Harry or Ron leaves.
<br>
If the amount of time that clerk spends with a customer is exponentially distributed with parameter λ, what is the probability that, of the three customers, Miss. Granger is the last to leave the post office?</p>
<ol>
<li> 1</li>
<li> 1/2</li>
<li> 1/8</li>
<li> 1/4</li>
</ol>Probabilityhttp://gateoverflow.in/87637/consider-office-staffed-clerks-suppose-granger-enters-systemTue, 29 Nov 2016 05:06:22 +0000Consider an experimenter that consists of counting the number of ∝- particles
http://gateoverflow.in/87626/consider-experimenter-consists-counting-number-particles
Consider an experimenter that consists of counting the number of ∝- particles given off in a 1 second interval by 1 gram of radioactive material. If we know from past experience 3 on the average 3.2 such ∝- particles are given off, what is a good approximation to the probability that no more than 2 ∝- particles will appear?Probabilityhttp://gateoverflow.in/87626/consider-experimenter-consists-counting-number-particlesTue, 29 Nov 2016 04:47:10 +0000IITM november 2016
http://gateoverflow.in/87358/iitm-november-2016
a fair dice is rolled until the output appers to be >4..now what is the probability that we need an even number of roll to get that?<br />
<br />
(forgot the options)Probabilityhttp://gateoverflow.in/87358/iitm-november-2016Mon, 28 Nov 2016 05:47:09 +0000what is the probability you will see a full moon?
http://gateoverflow.in/87242/what-is-the-probability-you-will-see-a-full-moon
<p>A full moon occurs every 29 nights. If you choose a night at random and then observe the night sky for 11 successive nights, what is the probability you will see a full moon?</p>
<ol>
<li> 0.03</li>
<li> 0.11</li>
<li> 0.38</li>
</ol>Probabilityhttp://gateoverflow.in/87242/what-is-the-probability-you-will-see-a-full-moonSun, 27 Nov 2016 17:40:14 +0000GATE1989-3-vii
http://gateoverflow.in/87141/gate1989-3-vii
<p>Answer the following:</p>
<p>Which of the following statements are FALSE?</p>
<ol style="list-style-type:upper-alpha">
<li>For poisson distribution, the mean is twice the variance.</li>
<li>In queuing theory, if arrivals occur according to poisson distribution, then the inter-arrival time is exponentially distributed.</li>
<li>The distribution of waiting time is independent of the service discipline used in selecting the waiting customers for service.</li>
<li>If the time between successive arrivals is exponential, then the time between the occurences of every third arrival is also exponential.</li>
</ol>Probabilityhttp://gateoverflow.in/87141/gate1989-3-viiSun, 27 Nov 2016 13:37:28 +0000The The width of the slot of a duralumin is (in inches) normally distributed with μ=0.900 and σ=0.0030
http://gateoverflow.in/85728/width-slot-duralumin-inches-normally-distributed-with-0030
<p>The The width of the slot of a duralumin is (in inches) normally distributed with μ=0.900 and σ=0.0030.width of the slot of a duralumin is (in inches) normally distributed with μ=0.900 and σ=0.0030. The specification limits were given as 9000±0.0050.
<br>
What % of forgings will be defective?</p>
<ul>
<li>0.95</li>
<li> 0.99</li>
<li> 0.98</li>
<li> 0.905</li>
</ul>Probabilityhttp://gateoverflow.in/85728/width-slot-duralumin-inches-normally-distributed-with-0030Thu, 24 Nov 2016 17:39:26 +0000A arrives at office at 8-10am regularly; B arrives at 9-11 am every day
http://gateoverflow.in/85624/arrives-at-office-at-10am-regularly-arrives-at-11-am-every-day
A arrives at office at 8-10am regularly; B arrives at 9-11 am every day. Probability that one day B arrives before A? [Assume arrival time of both A and B are uniformly distributed]Probabilityhttp://gateoverflow.in/85624/arrives-at-office-at-10am-regularly-arrives-at-11-am-every-dayThu, 24 Nov 2016 13:43:09 +0000