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Recent questions in Probability
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Random variables,
Uniform,
Normal,
Exponential,
Poisson
and
Binomial distributions.
Mean, median, mode and standard deviation.
Conditional probability and Bayes theorem
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1
Central limit theorem
(Central Limit Theorem) Let X1, X2, . . . , X81 be i.i.d., each with expected value µ = E(Xi) = 5, and variance σ2 = Var(Xi) = 4. Approximate P(X1 + X2 +· · · X81 > 369), using the central limit theorem.
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19 hours
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Probability
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Na462
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probability
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2
Grewal
Suppose avg waiting time of a process to get chance in a queue is 5 min. What will the probability that process get chance at first minute is ________________
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20 hours
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Probability
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srestha
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108k
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15
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probability
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3
Probability mass function
Suppose that the cdf of X is given by: F(a) ={ 0 for a < 0 1/5 for 0 ≤ a < 2 2/5 for 2 ≤ a < 4 1 for a ≥ 4. } Determine the pmf of X.
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22 hours
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Probability
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Na462
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8.6k
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13
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engineeringmathematics
randomvariable
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4
Probability density function
Let R be the rate at which customers are served in a queue. Suppose that R is exponential with pdf f(r) = 2e^(−2r) on [0, ∞). Find the pdf of the waiting time per customer T = 1/R.
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22 hours
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Probability
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Na462
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7
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engineeringmathematics
probability
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5
Expectation
Suppose 100 people all toss a hat into a box and then proceed to randomly pick out a hat. What is the expected number of people to get their own hat back. Hint: express the number of people who get their own hat as a sum of random variables whose expected value is easy to compute.
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1 day
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Probability
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Na462
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#probability#expectation
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6
Conditional Probability
A multiple choice exam has 4 choices for each question. A student has studied enough so that the probability they will know the answer to a question is 0.5, the probability that they will be able to eliminate one choice is 0.25, otherwise ... the test to measure what the student knows. If the student answers a question correctly what's the probability they knew the answer?
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Probability
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Na462
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conditionalprobability
probability
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7
JEST 2019
Three dice are rolled independently. Probability of obtaining the difference from largest and smallest number as exactly 4 :
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2 days
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Probability
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Sayan Bose
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jest
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8
Conditional probability
Oscar has lost his dog in either forest A (with a priori probability 0.4) or in forest B (with a priori probability 0.6). On any given day, if the dog is in A and Oscar spends a day searching for it in A, the conditional probability that he will ﬁnd the dog that day is 0.25. ... +(1/2)*0.15; but the answer given is=(0.5*0.4*0.25)+(0.5*0.6*0.15); what is wrong with my logic?
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3 days
ago
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Probability
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DIYA BASU
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241
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20
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conditionalprobability
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9
JEST Sample Question 1c
If a fair die (with 6 faces) is cast twice, what is the probability that the two numbers obtained differ by 2? (A) 1/12 (B) 1/6 (C) 2/9 (D) 1/2
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Probability
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jest
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10
JEST Sample Question6
Two gamblers have an argument. The first one claims that if a fair coin is tossed repeatedly, getting two consecutive heads is very unlikely. The second, naturally, is denying this. They decide to settle this by an actual trial; if, within n coin tosses, ... demonstrated. What happens for larger values of n? Is it true that P (n) only increases with n? Justify your answer.
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11
Sheldon ross example 5f
A poker hand consists of 5 cards.If the cards have distinct consecutive values and are not all of the same suit,we say that hand is straight.For instance a hand consisting of the five of spades,six of spades,seven of spades,eight of spades and nine of hearts is a straight.What is the probability that one is dealt is a straight?
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Probability
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rtalwar
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0
votes
1
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12
A family has two children. Given that one of the children is a boy, what is the probability that both children are boys?
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Probability
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ShubhamSwarnkar
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probability
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13
Probability
Bob has a peculiar pair of foursided dice. When he rolls the dice, the probability of any particular outcome is proportional to the sum of the results of each die. All outcomes that result in a particular sum are equally likely. (a) What is the probability of the ... Here what do we mean by the line  any particular outcome is proportional to the sum of the results of each die.
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6 days
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Probability
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DIYA BASU
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13
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probability
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14
Probability
Let 3 cards are drawn from a pack of 52 cards one by one without replacement then find the prob that 3 cards are drawn out of which 2 are ace Ace and one is King?
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Probability
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rtalwar
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167
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60
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0
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15
Expectation
How is E[X1/X>1]=E[X]. Please explain.
asked
Feb 12
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Probability
by
DIYA BASU
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241
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26
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+1
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3
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16
GATE201947
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only rela roots is (rounded off to $1$ decimal place) _______
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Feb 7
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Probability
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Arjun
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17
GATE 2019 23
Q.23 Two numbers are chosen independently and uniformly at random from the set (1, 2,..., 13]. The probability (rounded off to 3 decimal places) that their 4bit (unsigned) binary representations have the same most significant bit is
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Feb 7
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Probability
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Ram Swaroop
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425
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usergate2019
usermod
probability
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normal
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18
Sheldon and Ross
Two balls each equally likely to be colored either red or blue, are put in an urn. At each stage one of the balls is randomly chosen, its color is noted, and it is then returned to the urn.if the first two balls chosen are colored red, what is the probability that a>both balls in the urn are colored red b>the next ball chosen will be red how to solve this?
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Feb 7
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Probability
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DIYA BASU
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50
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0
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1
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19
query
Can someone provide me with the names of good resources for continuous random variable?
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Feb 6
in
Probability
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DIYA BASU
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241
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27
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0
votes
0
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20
SHELDON AND ROSS
FOR Q30 WHAT IS THE ANSWER??
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Feb 4
in
Probability
by
DIYA BASU
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241
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83
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0
votes
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21
Self doubt
Suppose 3 batteries are choosen at random from a group of 3 new and 4 used but still working and 5 ddefective batteries what is the probability of choosing 3 defective batteries? why is(5C3)/(12C3 ) the correct answer and (5*4*3)/(12C3) not the correct answer??
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Feb 3
in
Probability
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DIYA BASU
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241
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69
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0
votes
0
answers
22
Uniform Distribution
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Feb 2
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Probability
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Na462
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57
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randomvariable
probability
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acetestseries
0
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1
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23
Gate 2014 ec
A fair coin is tossed repeatedly till both head and appear atleast once. The average number of tosses required is?
asked
Jan 26
in
Probability
by
Vignaneswarkrishna
(
167
points)

89
views
0
votes
0
answers
24
GATEEY2018 Q53
The probability that a bush has a cricket is 0.1. The probability of a spider being present on a bush is 0.2. When both a spider and a cricket are present on a bush, the probability of encountering each other is 0.2. The probability of a spider consuming a ... a cricket is preyed on by a spider is ____ (answer up to 3 decimal places). Is it multiplication of everything i.e. 0.002.
asked
Jan 26
in
Probability
by
Barney Ross
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235
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52
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probability
usergate2018
usermod
0
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1
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25
Made easy test series probability
A dice is tossed thrice. A success is getting ‘1 or 6' on a toss. Find the variance of number of successes _. Answer 0.66
asked
Jan 24
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Probability
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Ram Swaroop
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madeeasytestseries
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26
Applied Course Mock Test 4
Q32 [Mock 4]. Naveen's coin box contains 8 fair standard coins (heads and tails) and 1 coin which has heads on both sides. He selects a coin randomly and flips it 4 times, getting all heads. If he flips this coin again, what is the probability it ... )+(1/9)*(1) Probability of choosing fair coin and P(heads)+ P(unfair)*P(heads). Please help me understand this question.
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Jan 22
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Probability
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great_gater
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conditionalprobability
probability
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27
probability
Probability density function of a random variable X is distributed uniformly between 0 and 10 The probability that X lies between 2.5 to 7.5 and the mean square value of X are respectively. please give step by step answer in a detailed manner.
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Jan 21
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Probability
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52
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probability
engineeringmathematics
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28
Gateforum mock 2
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Jan 20
in
Probability
by
Prince Sindhiya
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gateforumtestseries
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29
probability
A treasure has 6 similar gold coins and 9 silver coins. If 4 coins are to be randomly selected without replacement, the probability that the first 2 selected are gold and the last 2 silver
asked
Jan 19
in
Probability
by
ghostman23111
(
137
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57
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0
votes
0
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30
Probability
Suppose that a bag contains 8 blue cubes and 4 green cubes. We draw 2 cubes from the bag without replacement. It is given that blue balls are of weight 1Kg and green balls are of weight 0.5 Kg. Suppose that the probability that a given cube in the bag ... is its weight divided by the sum of the weights of all cubes currently in the bag. What is the probability that both cubes are blue.
asked
Jan 19
in
Probability
by
ghostman23111
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28
views
probability
engineeringmathematics
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