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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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Highest voted questions in Probability

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151
GATE Overflow Test Series | Mock GATE | Test 2 | Question: 57
$X$ ... $\alpha - \beta$ is ________ (upto two decimal places)
$X$ is a random variable that follows a continuous uniform distribution with probability density function$$f(x) = \left\{\begin{matrix}\dfrac{1}{9} &;2012\leq x \leq 2021...
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6 votes
3 answers
152
GATE Overflow Test Series | Probability | Test 1 | Question: 27
An unbiased coin is tossed repeatedly and its outcome is recorded. What is the expected number of trials to get $\text{HT}$ consecutively?
An unbiased coin is tossed repeatedly and its outcome is recorded. What is the expected number of trials to get $\text{HT}$ consecutively?
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6 votes
2 answers
153
GATE Overflow Test Series | Probability | Test 1 | Question: 30
A fair die is thrown as long as necessary for $1$ to turn up. If the number of throws $(n)$ turns out to be even, the probability that $n=4$ is ______ $1/36$ $5/36$ $1/6^4$ None of the above
A fair die is thrown as long as necessary for $1$ to turn up. If the number of throws $(n)$ turns out to be even, the probability that $n=4$ is ______$1/36$$5/36$$1/6^4$N...
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6 votes
2 answers
154
TIFR CSE 2020 | Part A | Question: 1
Two balls are drawn uniformly at random without replacement from a set of five balls numbered $1,2,3,4,5.$ What is the expected value of the larger number on the balls drawn? $2.5$ $3$ $3.5$ $4$ None of the above
Two balls are drawn uniformly at random without replacement from a set of five balls numbered $1,2,3,4,5.$ What is the expected value of the larger number on the balls dr...
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6 votes
4 answers
162
Probability
A fair coin is tossed 3 times in succession.If the first toss produced a head then the probability of getting exactly two heads in 3 tosses(including the first toss ) is 1/8 3/8 1/2 3/4
A fair coin is tossed 3 times in succession.If the first toss produced a head then the probability of getting exactly two heads in 3 tosses(including the first toss ) is1...
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6 votes
4 answers
163
ISRO2011-61
Three coins are tossed simultaneously. The probability that they will fall two heads and one tail is $5/8$ $1/8$ $2/3$ $3/8$
Three coins are tossed simultaneously. The probability that they will fall two heads and one tail is$5/8$$1/8$$2/3$$3/8$
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6 votes
1 answer
164
ISRO2009-66
If the pdf of a Poisson distribution is given by $f(x) = \dfrac{e^{-2} 2^x}{x!}$ then its mean is $2^x$ $2$ $-2$ $1$
If the pdf of a Poisson distribution is given by $f(x) = \dfrac{e^{-2} 2^x}{x!}$ then its mean is$2^x$$2$$-2$$1$
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