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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

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

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Recent questions in Probability

1 votes
1 answer
1041
what is the probability of a successful transmission if exactly one station should transmit the data ?
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...
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1 votes
1 answer
1042
probability
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 twice, what is the probability that sum of two numbers thrown is odd ans = 4/9
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...
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1 votes
1 answer
1045
VARIANCE
The mean of 100 observation is 50 and there standard deviation is 5. The sum of all squares of all the observation is 1) 50000 2) 250000 3) 252500 4) 25500
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
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1 votes
2 answers
1046
Variance
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 is 1) 6.5 2) 8.25 3) 3.87 4) 2.87
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...
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1 votes
2 answers
1047
die
A die is rolled 3 times. The probability that the exact one ODD number turns up among the 3 outcomes is..
A die is rolled 3 times. The probability that the exact one ODD number turns up among the 3 outcomes is..
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1 votes
1 answer
1048
Probability
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..
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..
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2 votes
2 answers
1056
Probability
Let $X$ be uniformly distributed on $\{0, 1, 2 \ldots 32\}$. What is probability of choosing $x \in X$ such that $3x + 12 \;\cong\; 0 \pmod{33}$?
Let $X$ be uniformly distributed on $\{0, 1, 2 \ldots 32\}$. What is probability of choosing $x \in X$ such that $3x + 12 \;\cong\; 0 \pmod{33}$?
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4 votes
1 answer
1057
Conditional Probability
A die is thrown 3 times and sum of 3 numbers thrown is 15. Find the chance that first thrown is 4 ?
A die is thrown 3 times and sum of 3 numbers thrown is 15. Find the chance that first thrown is 4 ?
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2 votes
2 answers
1058
Basic Probability
out of 2n+1 tickets consecutively numbered 3 are drawn at random . Find the probability that number on them are in AP ?
out of 2n+1 tickets consecutively numbered 3 are drawn at random . Find the probability that number on them are in AP ?
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0 votes
2 answers
1059
probability
India plays two matches each with West Indies and Australia. In any match, the probabilities of India getting, points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points is
India plays two matches each with West Indies and Australia. In any match, the probabilities of India getting, points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Ass...
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