Web Page

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

1 votes
1 answer
1083
Variance of 1st n positive integers isa)(n2-1)/12b)(n+1)/6c)(n-1)(2n+1)/3d)n(n-1)
0 votes
1 answer
1084
Please solve the following...If y=x+1 and x=3y-7 are 2 regression lines Q-1 Then arithmetic mean of x and y area)2,3 b) 2,2 c) 3,2 d)0,1Q-2 What will be the coefficient o...
0 votes
1 answer
1085
0 votes
2 answers
1086
A fair coin is tossed 100 times. The Probability of getting 50 heads is close to one of the following numbers:a)0.001b)0.1c)0.3 d)0.4
1 votes
0 answers
1090
Answer the following part:a) Show that, under the assumption that the input is equally likely to be any of the n! permutations of theseintegers, the average number of com...
2 votes
1 answer
1095
What is expected value of the sum of the numbers appearing on two fair dice when they are rolled given that the sum of these numbers is at least nine. That is, what is E(...
2 votes
1 answer
1097
Answer is 50,700,551/10,077,696 ≈ 5.03Do we need to take all X(R.V.): 1,2,3,4,5,6,7,8,9,10 cases or else
1 votes
1 answer
1098
Suppose that the probability that x is in a list of n distinct integers is 2/3 and that it is equally likely that x equals any element in the list. Find the average numbe...
2 votes
2 answers
1099
You are asked to open one door. There is a large prize behind one of the three doors and the other two doors are losers. After you select a door, Monty Hall opens one of ...