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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

1 votes
0 answers
931
From a lot containing 25 items , 5 are defective and 4 are chosen at random . Let X be the numbers of defective found .Obtain the probability distribution of X if item ar...
0 votes
1 answer
932
0 votes
2 answers
933
A coin is tossed untill a Head appears or the Tail appear 4 time in succession . Find the probability distribution of number of tosses ?
0 votes
1 answer
934
A bag contain 4 white and 5 black balls and another bag contain 3 white and 4 black balls . A ball is taken out from the first bag and without seeing its colour is put i...
0 votes
1 answer
935
Two cards are drawn from a well shuffled pack of 52 cards without replacement . What is probability one is red queen and other king is of black colour ?
0 votes
3 answers
936
Three cards are drawn with replaacement from a well shuffled back of cards . Find the prob that cards drawn are King queen and jack ?
0 votes
1 answer
937
If A and B are 2 independents events such that P(A' ⋂ B) = 2/15 and P (A⋂B') = 1/6 . find P (B)
1 votes
2 answers
938
A police man fires four bullet on a dacoit . The probability that dacoit will be killed by one bullet is 0.6 .what is prob that dacoit is still alive ?
1 votes
1 answer
939
A computer program selects an integer in the set {k : 1 ≤ k ≤ 10,00,000} at random and prints out the result. This process is repeated 1 million times. What is the pr...
1 votes
3 answers
940
0 votes
3 answers
942
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
1 votes
2 answers
943
37 votes
3 answers
945
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 _________.
0 votes
2 answers
948
0 votes
2 answers
949
I did it from conditional probability , first case when we pick one spade first and then pick king nextso it is equal to ,probability of picking up a spade*probability o...
0 votes
2 answers
950
A fair coin is tossed until one of 2 sides occurs twice in a row . Probability that the number of toses required is even is