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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

9 votes
3 answers
121
0 votes
3 answers
122
0 votes
3 answers
126
5 votes
3 answers
127
If two cards are selected randomly from a pack of 52 cards then find the probability of first card being club and second card not being a queen?
5 votes
3 answers
128
An unbiased coin is tossed repeatedly and outcomes are recorded. What is the expected no of toss to get HT ( one head and one tail consecutively) ?
3 votes
3 answers
130
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
131
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
132
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
133
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
134
1 votes
3 answers
136
0 votes
3 answers
140
Three cards are drawn with replaacement from a well shuffled back of cards . Find the prob that cards drawn are King queen and jack ?