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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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5 votes
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1061
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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0 votes
2 answers
1062
Probability
E1 and E2 are events in a probability space satisfying the following constraints p(E1)= p(E2);p(E1U E2) = 1; E1 & E2 are independent then p(E1)=
E1 and E2 are events in a probability space satisfying the following constraints p(E1)= p(E2);p(E1U E2) = 1; E1 & E2 are independent then p(E1)=
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2 votes
5 answers
1063
question on probability
Two aeroplanes I and II bomb a target in succession. The probability of I and II scoring a hit correctly are 0.3 and 0.2 respectively. The second plane will bomb only if the first misses the target.The probability that the target is hit by the second plane ?
Two aeroplanes I and II bomb a target in succession. The probability of I and II scoring a hit correctly are 0.3 and 0.2 respectively. The second plane will bomb only if...
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10 votes
3 answers
1064
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
1066
Explain what is wrong with the statement that in the Monty Hall Three-Door Puzzle the probability that the prize is behind the first door you select and the probability that the prize is behind the other of the two doors that Monty does not open are both 1/2, because there are two doors left.
the number of bit strings of length 8 that will either start with 1 or end with 00 is?a) 32              b) 128              c) 160       ...
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3 votes
1 answer
1072
A player in the Powerball lottery picks five different integers between 1 and 59, inclusive, and a sixth integer between 1 and 39
A player in the Powerball lottery picks five different integers between 1 and 59, inclusive, and a sixth integer between 1 and 39, which may duplicate one of the earlier ...
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1 votes
2 answers
1073
It is known that a bus will arrive at random at a certain location sometime between 3:00 P.M. and 3:30 P.M.
It is known that a bus will arrive at random at a certain location sometime between 3:00 P.M. and 3:30 P.M. A man decides that he will go at random to this location betwe...
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0 votes
1 answer
1076
wts shortcut to solve this kind of question
Consider a set A = {1, 2, 3, …….., 1000}. How many members of A shall be divisible by 3 or by 5 or by both 3 and 5 ? (A) 533 (B) 599 (C) 467 (D) 66
Consider a set A = {1, 2, 3, …….., 1000}. How many members of A shall be divisible by3 or by 5 or by both 3 and 5 ?(A) 533 (B) 599(C) 467 (D) 66
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0 votes
1 answer
1077
probability of picking red ball
A bin contains two red balls and one white ball. The probability of picking the balls is equally likely. Two balls are taken without replacement. What is the probability of getting two red balls.
A bin contains two red balls and one white ball. The probability of picking the balls is equally likely. Two balls are taken without replacement. What is the probability...
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0 votes
1 answer
1079
Regression Lines
Q-1 If y=x+1 and x=3y-7 are 2 regression lines Then x bar(mean for x values) and y bar(mean for y values) are respectively a)2,3 b)2,2 c)3,2 d)0,1 Q-2 Regression equations are x=4-0.2y and y=7-0.8x then value of correlation coefficient is a)0.4 b)-0.4 c)0.16 d)-0.16
Q-1 If y=x+1 and x=3y-7 are 2 regression linesThen x bar(mean for x values) and y bar(mean for y values) are respectivelya)2,3 b)2,2 c)3,2 d)0,1Q-2 Regression equations a...
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0 votes
1 answer
1080
Probability
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