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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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10 votes
3 answers
66
ISRO2014-37
The probability that two friends are born in the same month is ____ ? $1/6$ $1/12$ $1/144$ $1/24$
The probability that two friends are born in the same month is ____ ?$1/6$$1/12$$1/144$$1/24$
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0 votes
1 answer
68
Regression Lines
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 are a)2,3 b) 2,2 c) 3,2 d)0,1 Q-2 What will be the coefficient of correlation(r)? a) 1 b) 3 c) 2 d) 1/sqrt(3)
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...
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6 votes
4 answers
70
Probability
A fair coin is tossed 3 times in succession.If the first toss produced a head then the probability of getting exactly two heads in 3 tosses(including the first toss ) is 1/8 3/8 1/2 3/4
A fair coin is tossed 3 times in succession.If the first toss produced a head then the probability of getting exactly two heads in 3 tosses(including the first toss ) is1...
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5 votes
3 answers
73
Probability
A box contains 10 screws, 3 of which are defective.Two screws are drawn at random with replacement.The probability that none of the two screws is defective will be
A box contains 10 screws, 3 of which are defective.Two screws are drawn at random with replacement.The probability that none of the two screws is defective will be
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1 votes
1 answer
76
probability
For certain binary communication channel probability transmitted 0 is received as o is 0.95 and probability that transmitted 1 is received as transmiited 1 is 0.9 If probability 0 is transmiited is 0.4 find probality that 1 was transmitted given 1 was received?
For certain binary communication channel probability transmitted 0 is received as o is 0.95 and probability that transmitted 1 is received as transmiited 1 is 0.9 If prob...
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20 votes
2 answers
77
GATE CSE 1997 | Question: 1.1
The probability that it will rain today is $0.5$. The probability that it will rain tomorrow is $0.6$. The probability that it will rain either today or tomorrow is $0.7$. What is the probability that it will rain today and tomorrow? $0.3$ $0.25$ $0.35$ $0.4$
The probability that it will rain today is $0.5$. The probability that it will rain tomorrow is $0.6$. The probability that it will rain either today or tomorrow is $0.7$...
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