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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

4 votes
1 answer
991
Let X∈{0,1} and Y∈{0,1} be two random variables if P(X=0) =p and P(Y=0)=q then P(X+Y>=1) is equal to1)pq+(1-p)(1-q)2)pq3)p(1-q)4)1-pq
4 votes
2 answers
995
Q) Let $x$ be normal variable with mean $8$ and standard deviation $4$ then $p(X\leq5)$ is A). Greater than zero but less than $0.5$B). Greater than $0.75$C). Greater tha...
1 votes
1 answer
997
If there are n stations and each station can send data with probability n ,Now if at any instant of time there should be exactly one station which should transmit data th...
1 votes
1 answer
998
Explain this question . what they mean ?A six faced die is so biased that, when thrown, it is twice as likely to show an even number than an odd number. if it is thrown t...
1 votes
1 answer
1001
The mean of 100 observation is 50 and there standard deviation is 5. The sum of all squares of all the observation is1) 500002) 2500003) 2525004) 25500
1 votes
2 answers
1002
consider the first 10 positive integers . If we multiply each number by -1 and then add 1 to each number , the variance of the numbers so obtained is1) 6.52) 8.253) 3.874...
1 votes
2 answers
1003
A die is rolled 3 times. The probability that the exact one ODD number turns up among the 3 outcomes is..
1 votes
1 answer
1004
A problem in mechanics is given to 3 students A,B,C whose chances of slogging it are 1/2,1/3,1/4 respectively. The probability that the problem will be solved is..