GATE Overflow - Recent questions tagged engineering-mathematics
http://gateoverflow.in/tag/engineering-mathematics
Powered by Question2Answerprobability
http://gateoverflow.in/119705/probability
In a bag,there are 4 fair coins and 3 unfair coins.The probability of getting a head in those unfair coins is 1/3 and tail is 2/3.Now if 2 coins are taken from the bag and flipped.What is the probability of getting both as heads ?Numerical Abilityhttp://gateoverflow.in/119705/probabilityThu, 23 Feb 2017 16:20:03 +0000#probability_doubt_in_basic_concept
http://gateoverflow.in/119694/%23probability_doubt_in_basic_concept
<p><span class="marker">1)</span> Two coins are tossed.What is the probability of getting one head and one tail ? WKT ANS IS 2/4=1/2</p>
<p><span class="marker">2)</span> A coin is tossed twice.What is the probability of getting one head and one tail ? WKT ANS is 2/4=1/2</p>
<p><span class="marker">3)</span> A bag has 3 red balls and 4 green balls.Two balls are picked from the bag randomly.What is the probability of getting one red and one green ? ANS GIVEN IS (3/7*4/6)....WHY NOT (3/7*4/6)+(4/7*3/6)</p>
<p>I MEAN WHY WE ARE CONSIDERING THE ORDER FOR<span class="marker"> 1)</span> AND <span class="marker">2)</span> BUT NOT FOR <span class="marker">3)</span></p>
<p>THAT IS IN <span class="marker">1)</span> AND <span class="marker">2)</span> ......{HEAD,TAIL} AND {TAIL,HEAD} ARE TREATED DIFFERENTLY BUT IN <span class="marker">3)</span> BOTH {R,G} AND {G,R} ARE TREATED SAME......WHY ???</p>
<p>please explain I am getting confused here ....</p>
<p> </p>Numerical Abilityhttp://gateoverflow.in/119694/%23probability_doubt_in_basic_conceptThu, 23 Feb 2017 11:47:04 +0000probability
http://gateoverflow.in/119660/probability
<p><img alt="" height="79" src="http://gateoverflow.in/?qa=blob&qa_blobid=15393637210555024677" width="638"></p>Probabilityhttp://gateoverflow.in/119660/probabilityWed, 22 Feb 2017 14:58:45 +0000ISRO2014-EC Mathematics
http://gateoverflow.in/119647/isro2014-ec-mathematics
<p>Match the following:</p>
<p>A Gaussian distribution 1 Calls on a telephone channel</p>
<p>B Rayleigh distribution 2 Random number</p>
<p>C Poisson distribution 3 Thermal noise</p>
<p>D Uniform distribution 4 Fading channel in wireless communication</p>
<hr>
<p>
<br>
A) A-3, B-1, C-4, D-2</p>
<p>B) A-3, B-4, C-2, D-1</p>
<p>C) A-1, B-4, C-3, D-2</p>
<p>D) A-3, B-4, C-1, D-2</p>
<p> </p>Probabilityhttp://gateoverflow.in/119647/isro2014-ec-mathematicsWed, 22 Feb 2017 10:23:36 +0000probability
http://gateoverflow.in/119576/probability
If 4 married couples are arranged in a row, find the<br />
probability that no husband sits next to his wife.Numerical Abilityhttp://gateoverflow.in/119576/probabilityTue, 21 Feb 2017 15:27:05 +0000probability
http://gateoverflow.in/119574/probability
A closet contains 10 pairs of shoes. If 8 shoes<br />
are randomly selected, what is the probability that<br />
there will be exactly 1 complete pair?<br />
<br />
ANSWER I AM GETTING : [ C(10,1) * C(9,6) * 2^6 ] / [ C(20,8) ] <br />
ANSWER GIVEN : [ C(10,1) * C(9,6) * 2^6 ] / [C[20,8] *2!]<br />
<br />
PLEASE VERIFY IF AM MISSING SOMETHINGNumerical Abilityhttp://gateoverflow.in/119574/probabilityTue, 21 Feb 2017 15:21:49 +0000probability
http://gateoverflow.in/119570/probability
A group of 6 men and 6 women is randomly<br />
divided into 2 groups of size 6 each. What is the<br />
probability that both groups will have the same<br />
number of men?<br />
<br />
ANSWER I AM GETTING IS : [C(6,3) * C(6,3)] / [12!/(6!*6!*2!)]<br />
ANSWER GIVEN IS : [C(6,3) * C(6,3)] / [12!/(6!*6!)] <br />
source : sheldon m ross textbook<br />
<br />
please do verify and provide explanation ....<br />
what i feel is that "the answer should be divided by 2! because the permutations among 2 groups shouldnot happen because both the groups are unlabelled"Numerical Abilityhttp://gateoverflow.in/119570/probabilityTue, 21 Feb 2017 14:31:22 +0000probability
http://gateoverflow.in/119569/probability
Given 20 people, what is the probability that,<br />
among the 12 months in the year, there are 4<br />
months containing exactly 2 birthdays and 4 containing<br />
exactly 3 birthdays?Numerical Abilityhttp://gateoverflow.in/119569/probabilityTue, 21 Feb 2017 13:31:10 +0000probability
http://gateoverflow.in/119539/probability
How many people have to be in a room in order that the probability that at least two of them celebrate their birthday in the same month is at least $1/2$ ? Assume that all possible monthly outcomes are equally likely.Numerical Abilityhttp://gateoverflow.in/119539/probabilityTue, 21 Feb 2017 09:11:27 +0000probability
http://gateoverflow.in/119534/probability
Five people, designated as A, B, C, D, E, are<br />
arranged in linear order. Assuming that each possible<br />
order is equally likely, what is the probability<br />
that<br />
(a) there is exactly one person between A and B?<br />
(b) there are exactly two people between A<br />
and B?Numerical Abilityhttp://gateoverflow.in/119534/probabilityTue, 21 Feb 2017 08:19:01 +0000#combinatorics #aptitude
http://gateoverflow.in/118663/%23combinatorics-%23aptitude
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=7688279075571954362"></p>Combinatoryhttp://gateoverflow.in/118663/%23combinatorics-%23aptitudeTue, 14 Feb 2017 10:49:34 +0000#sheldon_ross_textbook #combinatorics
http://gateoverflow.in/118657/%23sheldon_ross_textbook-%23combinatorics
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=9244658919636567396"></p>Numerical Abilityhttp://gateoverflow.in/118657/%23sheldon_ross_textbook-%23combinatoricsTue, 14 Feb 2017 10:42:56 +0000GATE2017-2-52
http://gateoverflow.in/118618/gate2017-2-52
If the characteristic polynomial of a 3 $\times$ 3 matrix $M$ over $\mathbb{R}$ (the set of real numbers) is $\lambda^3 – 4 \lambda^2 + a \lambda +30, \quad a \in \mathbb{R}$, and one eigenvalue of $M$ is 2, then the largest among the absolute values of the eigenvalues of $M$ is _______Linear Algebrahttp://gateoverflow.in/118618/gate2017-2-52Tue, 14 Feb 2017 10:20:19 +0000GATE2017-2-10
http://gateoverflow.in/118262/gate2017-2-10
<p>If $f(x) = R \: \sin ( \frac{\pi x}{2}) + S. f’(\frac{1}{2}) = \sqrt{2}$ and $\int_0^1 f(x) dx = \frac{2R}{\pi}$, then the constants $R$ and $S$ are</p>
<ol style="list-style-type: upper-alpha;">
<li>$\frac{2}{\pi}$ and $\frac{16}{\pi}$</li>
<li>$\frac{2}{\pi}$ and 0</li>
<li>$\frac{4}{\pi}$ and 0</li>
<li>$\frac{4}{\pi}$ and $\frac{16}{\pi}$</li>
</ol>
<p> </p>Calculushttp://gateoverflow.in/118262/gate2017-2-10Tue, 14 Feb 2017 06:57:13 +0000#first course in probability #sheldon_ross
http://gateoverflow.in/117798/%23first-course-in-probability-%23sheldon_ross
In how many ways can 3 boys and 3 girls can sit together such that ONLY boys should together?Combinatoryhttp://gateoverflow.in/117798/%23first-course-in-probability-%23sheldon_rossFri, 10 Feb 2017 05:19:30 +0000Integration doubt
http://gateoverflow.in/117492/integration-doubt
How to integrate: $\int e^{-x^{2}} dx$<br />
<br />
More specifically, how to integrate standard normal distribution function from 0 to a?Calculushttp://gateoverflow.in/117492/integration-doubtThu, 09 Feb 2017 02:04:01 +0000Basic Calculus
http://gateoverflow.in/117075/basic-calculus
what is the difference between Local maxima/minima and absolute maxima/minima ???? example would be greatCalculushttp://gateoverflow.in/117075/basic-calculusTue, 07 Feb 2017 14:20:01 +0000GATE 2017: Maths: LA
http://gateoverflow.in/116534/gate-2017-maths-la
<p>Is manual calculation required to solve this question, or there is some properties can be applied here, btw please solve it.</p>
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=15591084903215685093"></p>Linear Algebrahttp://gateoverflow.in/116534/gate-2017-maths-laMon, 06 Feb 2017 12:44:23 +0000GeeksQuiz No of Linearly Independent Vector for Eigen value
http://gateoverflow.in/116260/geeksquiz-no-of-linearly-independent-vector-for-eigen-value
<p>The number of linearly independent eigen vector for eigen value 1</p>
<p>$\begin{bmatrix} 1 & 3 & 2 \\ 0 & 4 & 2\\ 0 &-3 & -1 \end{bmatrix}$Matrix </p>
<p>After Substituing eigen value 1</p>
<p>$\begin{bmatrix} 0 & 3 & 2 \\ 0 & 3 & 2\\ 0 &-3 & 0 \end{bmatrix}$</p>
<p>Rank of Matrix = 1 </p>
<p>The number of linearly independent Vector should be equal to Matrix Rank = <strong>1</strong> ? The ans given is No Of Unknown - Rank <strong>( 3-1 = 2)</strong></p>
<p> </p>
<p> </p>Linear Algebrahttp://gateoverflow.in/116260/geeksquiz-no-of-linearly-independent-vector-for-eigen-valueSun, 05 Feb 2017 13:05:17 +0000GATE ME-2017 mean value
http://gateoverflow.in/115861/gate-me-2017-mean-value
A fair six faced die is rolled many times. The mean of outcomes is __________Probabilityhttp://gateoverflow.in/115861/gate-me-2017-mean-valueSat, 04 Feb 2017 14:55:07 +0000LIMIT
http://gateoverflow.in/115725/limit
$\lim_{X\rightarrow \infty } -(x+1)(e^{\frac{1}{x+1}}-1)$Calculushttp://gateoverflow.in/115725/limitSat, 04 Feb 2017 10:17:49 +0000GATE-2006-18
http://gateoverflow.in/115413/gate-2006-18
<p>We are given a set X = {x<sub>1</sub>, x<sub>2</sub> ...., x<sub>n</sub>} where x<sub>i</sub> = 2<sup>i</sup>. A sample S ⊆ X is drawn by selecting each x<sub>i</sub> independently with probability P<sub>i</sub> = $\frac{1}{2}$. The expected value of the smallest number in sample S is:</p>
<p>A) $\frac{1}{n}$</p>
<p>B) 2</p>
<p>C) $\sqrt{n}$</p>
<p>D) n</p>
<p> </p>Probabilityhttp://gateoverflow.in/115413/gate-2006-18Fri, 03 Feb 2017 15:47:57 +0000How to calculate standard deviation for Normal Distribution calculations using Gate Virtual Calculator?
http://gateoverflow.in/115242/calculate-deviation-distribution-calculations-calculator
Ex. I want to calculate :<br />
<br />
P(21.11<x<26.66) = P(.33<z<2)<br />
<br />
= 0.4772 - 0.1293<br />
<br />
= 0.3497<br />
<br />
<br />
<br />
How to get 0.4772 and 0.1293?Probabilityhttp://gateoverflow.in/115242/calculate-deviation-distribution-calculations-calculatorFri, 03 Feb 2017 10:06:42 +0000Made easy Linear algebra
http://gateoverflow.in/113387/made-easy-linear-algebra
<p>Is it necessary that the lower triangular matrix should contain 1 as leading diagonal in LU decomposition? In the solution to this problem they have taken the triangular matrix diagonal as 1.</p>
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=5766303977148893151"></p>Linear Algebrahttp://gateoverflow.in/113387/made-easy-linear-algebraMon, 30 Jan 2017 09:23:36 +0000Maths: Limits Que03
http://gateoverflow.in/112227/maths-limits-que03
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=1007214301825285458"></p>
<p>given answer is (B) why continuous and differential on 0 ONLY?</p>Calculushttp://gateoverflow.in/112227/maths-limits-que03Sat, 28 Jan 2017 04:12:37 +0000Maths: Linear Algebra Que01
http://gateoverflow.in/112226/maths-linear-algebra-que01
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=12469779736841573203"></p>Linear Algebrahttp://gateoverflow.in/112226/maths-linear-algebra-que01Sat, 28 Jan 2017 04:07:50 +0000Maths: Limit Que02
http://gateoverflow.in/112224/maths-limit-que02
<p>lim <sub>x->0 </sub> x<sup>x</sup></p>
<p>y = x<sup>x </sup>
<br>
logy = xlogx
<br>
= $\frac{logx}{\frac{1}{x}}$
<br>
<br>
my question is when this equation not in the form of 0/0 or inf/inf then how can I apply <strong>L</strong>'<strong>Hospital's Rule??</strong></p>Calculushttp://gateoverflow.in/112224/maths-limit-que02Sat, 28 Jan 2017 04:02:32 +0000The Dice Game
http://gateoverflow.in/112103/the-dice-game
Three Players A, B and C play a game with a single die. The rules of<br />
the game are:<br />
Player A ALWAYS goes first.<br />
A rolls the die. If the die lands showing a 1 then A wins the game.<br />
If A does not throw a 1 then B has a turn.<br />
B rolls a die. If the die landing shows a 2 or 3 then B wins the<br />
game. If B does not throw a 2 or a 3 then C has a turn.<br />
<br />
C rolls the die. If the die lands showing a 4, 5 or 6 then C wins<br />
the game. If C does not throw a 4 or a 5 or a 6 then A starts again.<br />
<br />
This procedure continues until there is a winner.<br />
<br />
Investigate any or all of:<br />
<br />
1. The probabilities of each of A, B or C winning the game.<br />
<br />
2. Who will be the most likely winner?<br />
<br />
3. The most likely length of the game in terms of the number of rolls<br />
of the die to produce the winnerProbabilityhttp://gateoverflow.in/112103/the-dice-gameFri, 27 Jan 2017 17:31:09 +0000G be a simple graph on 8 vertices such that there is a vertices of degrees 1,2,3,4,5,6,7 respectively - then
http://gateoverflow.in/112057/simple-graph-vertices-there-vertices-degrees-respectively
Which of the following can be the degree of the last vertex?<br />
<br />
(A) 3<br />
<br />
(B) 0<br />
<br />
(C) 5<br />
<br />
(D) 4Graph Theoryhttp://gateoverflow.in/112057/simple-graph-vertices-there-vertices-degrees-respectivelyFri, 27 Jan 2017 16:31:57 +0000Probability
http://gateoverflow.in/111363/probability
A fair coin is tossed ten times in succession. If the first toss produces a head,<br />
then the probability of getting exactly three heads in ten tosses is<br />
<br />
I am doing like :-<br />
<br />
$\frac{1}{2}*n(9,2)*\frac{1}{2}^2\frac{1}{2}^7$<br />
<br />
I am using bionomial distribution here,Now for initial first head,will probability will be (1/2) or will it be 1?It says first produces head,means first head probability is (1/2) or is it (1)?<br />
<br />
After that i will find 2 success if of 9 trials.<br />
<br />
Please help,that inital (1/2) term above is correct ir should it be 1?Probabilityhttp://gateoverflow.in/111363/probabilityThu, 26 Jan 2017 02:41:18 +0000Probability
http://gateoverflow.in/110852/probability
A,B,C and D are four players playing the dice game and who gets the number 5 first wins the game. If A starts first what is the probability that D wins the game in second trail isProbabilityhttp://gateoverflow.in/110852/probabilityWed, 25 Jan 2017 08:52:07 +0000Probability
http://gateoverflow.in/110683/probability
<p><em>Given below are two problems that I had encountered in two different tests. They seem to me as the same type. However, the solutions provided have been done differently. Where am I wrong?</em></p>
<p><em><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=6229195413004414913"></em></p>Probabilityhttp://gateoverflow.in/110683/probabilityTue, 24 Jan 2017 19:26:36 +0000testbook
http://gateoverflow.in/109769/testbook
<p> How?</p>
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=11541446028606472199"></p>
<p> </p>Mathematical Logichttp://gateoverflow.in/109769/testbookMon, 23 Jan 2017 12:14:49 +0000type of relation
http://gateoverflow.in/109601/type-of-relation
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=13405252837237460237"></p>
<p>how is it not transitive??</p>
<p>i mean take any time instant.ie x= 4:00 and y=4:20,z= 4:40..they are transitive..right??</p>Set Theory & Algebrahttp://gateoverflow.in/109601/type-of-relationMon, 23 Jan 2017 08:32:05 +0000Graph Theory Problem-Test Series
http://gateoverflow.in/108391/graph-theory-problem-test-series
A Connected Graph has Cut edge, Then Graph has Cut vertex also.<br />
<br />
1. True<br />
<br />
2. False<br />
<br />
Choose Correct One.Graph Theoryhttp://gateoverflow.in/108391/graph-theory-problem-test-seriesFri, 20 Jan 2017 14:59:48 +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 +0000When they don't mention type of tree then if it's mandatory to take 'Binary Tree'(Check Description)
http://gateoverflow.in/107483/when-mention-mandatory-take-binary-tree-check-description
<p><span class="marker">The minimum number of vertices having degree 1 in a tree of at least 10 vertices is ______________.</span></p>
<p>If we consider this question, then first answer comes in our mind is '2', right?</p>
<p>But what if Tree isn't binary?</p>
<p> if root node has 9 leaf nodes, so all those nodes having degree 1, right? So answer could be:<strong>9</strong></p>Graph Theoryhttp://gateoverflow.in/107483/when-mention-mandatory-take-binary-tree-check-descriptionWed, 18 Jan 2017 12:52:13 +0000Graph Theory
http://gateoverflow.in/107480/graph-theory
Let G be a undirected graph with 35 edges and degree of each vertex is at least 3 then maximum number of vertices possible in G is<br />
<br />
(A) 22<br />
(B) 23<br />
(C) 24<br />
(D) 25<br />
<br />
P.S. Explain with ease, if possible!Graph Theoryhttp://gateoverflow.in/107480/graph-theoryWed, 18 Jan 2017 12:45:46 +0000Maths
http://gateoverflow.in/107357/maths
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=12262461487291332204"></p>Mathematical Logichttp://gateoverflow.in/107357/mathsWed, 18 Jan 2017 08:08:08 +0000mock1 ace
http://gateoverflow.in/107257/mock1-ace
<p><img alt="" src="http://gateoverflow.in/?qa=blob&qa_blobid=17452686636447254391"></p>
<p>How to solve this?</p>Mathematical Logichttp://gateoverflow.in/107257/mock1-aceWed, 18 Jan 2017 00:35:51 +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 +0000What is the expected length of the cycle containing vertex 1?
http://gateoverflow.in/106462/what-is-the-expected-length-of-the-cycle-containing-vertex-1
<p>A random permutation π of set[n] = {1, 2, …, n} can be represent by a directed graph on n vertices with directed arc (i, π<sub>i</sub>) where π<sub>i</sub> is the i<sup>th</sup> entry in the permutation. Observe that the resulting graph is just a collection of disjoint cycles.
<br>
What is the expected length of the cycle containing vertex 1?</p>
<ol>
<li> n(n-1)/2n</li>
<li> (n+1)/2n</li>
<li> ((n-1))/2</li>
<li> ((n+1))/2</li>
</ol>
<p> </p>
<p>/pls explain the question </p>Graph Theoryhttp://gateoverflow.in/106462/what-is-the-expected-length-of-the-cycle-containing-vertex-1Mon, 16 Jan 2017 13:54:25 +0000Integration
http://gateoverflow.in/106245/integration
Solve the following $\int_{0}^{\infty}e^{-x^2}x^4dx$Calculushttp://gateoverflow.in/106245/integrationMon, 16 Jan 2017 06:56:40 +0000Perfect Matching for a graph
http://gateoverflow.in/105858/perfect-matching-for-a-graph
<table style="width:100%">
<tbody>
<tr>
<td>Find the number of perfect matching of the graph
<br>
<img alt="Image not present" src="http://s3-ap-southeast-1.amazonaws.com/gate-content-images/data/images/common/papers/partners/34/580/image031.png"></td>
</tr>
</tbody>
</table>
<p>Your Answer:
<br>
<br>
105
<br>
<br>
Correct Answer: 9 Status: incorrect</p>Mathematical Logichttp://gateoverflow.in/105858/perfect-matching-for-a-graphSun, 15 Jan 2017 11:49:48 +0000LINEAR ALGEBRA
http://gateoverflow.in/104762/linear-algebra
<p><strong>IS ZERO THE ONLY EIGEN VALUE OF SINGULAR MATRICES??</strong></p>Mathematical Logichttp://gateoverflow.in/104762/linear-algebraThu, 12 Jan 2017 19:50:32 +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 +0000Probability
http://gateoverflow.in/104445/probability
2 friends Alice and Bob have found an unfair coin,It has 72% chance of coming up heads.Alice and Bob plays a game with this coin.If coin comes up head then tails,Alice wins.If it's reverse(tails,then heas),Bob wins.And if neither of those two things happens,the game restarts and continues untill there is a winner <br />
<br />
What is Bob's probability of winning?Mathematical Logichttp://gateoverflow.in/104445/probabilityThu, 12 Jan 2017 09:52:48 +0000