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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

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

Recent questions in Probability

18 votes
5 answers
1021
An unbiased die is thrown $n$ times. The probability that the product of numbers would be even is$\dfrac{1}{(2n)}$$\dfrac{1}{[(6n)!]}$$1 - 6^{-n}$$6^{-n}$None of the abov...
2 votes
1 answer
1023
a man appeared for a job interview in companies A,B,C,D . the probability of getting job in A,B,C,D are 0.6,0.5,0.5 and 0.7 . the probability that the candidate will ge...
3 votes
2 answers
1026
A and B play game in whic they toss coin 3 times.The one obtaining heads first wins the game.If A tosses coin first and if total value of stake is Rs 20.How much should b...
13 votes
2 answers
1034
The probability of throwing six perfect dices and getting six different faces is$1 -\dfrac{ 6!} { 6^{6}}$$\dfrac{6! }{ 6^{6}}$$6^{-6}$$1 - 6^{-6}$None of the above
25 votes
7 answers
1038
14 votes
1 answer
1040
Let $X$ and $Y$ be two independent and identically distributed random variables. Then $P\left ( X Y \right )$ is.$\frac{1}{2}$10$\frac{1}{3}$Information is insufficient.