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Syllabus: Random variables, Uniform, Normal, Exponential, Poisson and Binomial distributions. Mean, median, mode and standard deviation. Conditional probability and Bayes theorem

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 0 &1&1&0&2&1&1&0&1&1&0&0.8&2
\\\hline\textbf{2 Marks Count} & 0 &2&2&1&1&1&0&3&1&0&0&1.1&3
\\\hline\textbf{Total Marks} & 0 &5&5&2&4&3&1&6&3&1&\bf{0}&\bf{3}&\bf{6}\\\hline
\end{array}}}$$

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Most answered questions in Probability

3 votes
3 answers
94
GATE Overflow Test Series | Probability | Test 1 | Question: 3
If in a series of $10$ values all values are multiplied by $5,$ the percentage change in the standard deviation will be _________
If in a series of $10$ values all values are multiplied by $5,$ the percentage change in the standard deviation will be _________
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4 votes
3 answers
97
GATE Overflow Test Series | Probability | Test 1 | Question: 14
A stick of length $2m$ is broken into two pieces, at a uniformly random chosen break point.The expected length of the larger piece (in meters) is _____
A stick of length $2m$ is broken into two pieces, at a uniformly random chosen break point.The expected length of the larger piece (in meters) is _____
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2 votes
3 answers
98
GATE Overflow Test Series | Probability | Test 1 | Question: 16
Suppose the probability that some part of an automobile does not work during any one hour period is $0.02,$ the probability that a given engine will work for $3$ hours will be _____ $0.96$ $0.98$ $0.94$ $0.88$
Suppose the probability that some part of an automobile does not work during any one hour period is $0.02,$ the probability that a given engine will work for $3$ hours wi...
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6 votes
3 answers
100
GATE Overflow Test Series | Probability | Test 1 | Question: 27
An unbiased coin is tossed repeatedly and its outcome is recorded. What is the expected number of trials to get $\text{HT}$ consecutively?
An unbiased coin is tossed repeatedly and its outcome is recorded. What is the expected number of trials to get $\text{HT}$ consecutively?
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3 votes
3 answers
101
GATE Overflow Test Series | Probability | Test 1 | Question: 29
A certain family has $8$ children, consisting of $3$ boys and $5$ girls. Assuming that all birth orders are equally likely with no twins, what is the probability that the $3$ eldest children are girls? (Up to $2$ decimal places)
A certain family has $8$ children, consisting of $3$ boys and $5$ girls. Assuming that all birth orders are equally likely with no twins, what is the probability that the...
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2 votes
3 answers
102
NIELIT 2016 MAR Scientist B - Section B: 16
A box contains $10$ screws, $3$ of which are defective. Two screws are drawn at random with replacement. The probability that none of two screws is defective will be $100\%$ $50\%$ $49\%$ None of these.
A box contains $10$ screws, $3$ of which are defective. Two screws are drawn at random with replacement. The probability that none of two screws is defective will be$100\...
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3 votes
3 answers
103
CMI2019-A-6
Suppose you alternate between throwing a normal six-sided fair die and tossing a fair coin. You start by throwing the die. What is the probability that you will see a $5$ on the die before you see tails on the coin? $\frac{1}{12}$ $\frac{1}{6}$ $\frac{2}{9}$ $\frac{2}{7}$
Suppose you alternate between throwing a normal six-sided fair die and tossing a fair coin. You start by throwing the die. What is the probability that you will see a $5$...
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0 votes
3 answers
104
ISI2019-MMA-22
A coin with probability $p (0 < p < 1)$ of getting head, is tossed until a head appears for the first time. If the probability that the number of tosses required is even is $2/5$, then the value of $p$ is $2/7$ $1/3$ $5/7$ $2/3$
A coin with probability $p (0 < p < 1)$ of getting head, is tossed until a head appears for the first time. If the probability that the number of tosses required is even ...
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0 votes
3 answers
105
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 ________________
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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0 votes
3 answers
108
Probability
Please explain how $P(A ∩ B) = P(A)P(B)$? If $A$ and $B$ are independent.
Please explain how $P(A ∩ B) = P(A)P(B)$? If $A$ and $B$ are independent.
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0 votes
3 answers
109
UGC NET CSE | July 2018 | Part 2 | Question: 80
Consider the set of all possible five-card poker hands dealt fairly from a standard deck of fifty-two cards. How many atomic events are there in the joint probability distribution? 2, 598, 960 3, 468, 960 3, 958, 590 2, 645, 590
Consider the set of all possible five-card poker hands dealt fairly from a standard deck of fifty-two cards. How many atomic events are there in the joint probability dis...
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