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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

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

Most answered questions in Probability

3 votes
3 answers
122
Two cards are drawn together from a pack of 52 cards, What is the probability that One is spade and other is king??
3 votes
3 answers
123
A box contains 10 mangoes out of which 4 are rotten .Two mangoes are taken out together. If one of them is found to be good ,then find the probability other is also good...
3 votes
3 answers
124
One dice is thrown three times and the sum of the thrown numbers is 15.find the probability for which number 4 appears in first throw.
4 votes
3 answers
125
What is the median of data if its mode is $15$ and the mean is $30?$$30$$25$$22.5$$27.5$
5 votes
3 answers
126
1 votes
3 answers
128
0 votes
3 answers
132
Three cards are drawn with replaacement from a well shuffled back of cards . Find the prob that cards drawn are King queen and jack ?
1 votes
3 answers
133
0 votes
3 answers
134
What is the chance that a leap year selected at random will contain 52 Sundays? a. 1 b. 3/7 c. 1/7 d. 2/7
37 votes
3 answers
135
A probability density function on the interval $[a, 1]$ is given by $1/x^{2}$ and outside this interval the value of the function is zero. The value of $a$ is _________.
7 votes
3 answers
136
A fair die is tossed two times. the probability that 2nd toss results in value greater than first toss is ?
4 votes
3 answers
137
Let x1 x2 x3 be three independent and identically distribuyed random variables with uniform distrbution on (0,1) find probability p(x1+x2<=x3)