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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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Most viewed questions in Probability

2 votes
1 answer
121
GATE 2015 SET-2 Q 29
Let the random variable X represent the number of times a fair coin needs to be tossed till two consecutive heads appear for the first time. The expectation of X is _______.
Let the random variable X represent the number of times a fair coin needs to be tossed till two consecutive heads appear for the first time. The expectation of X is _____...
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1 votes
1 answer
122
ISRO 2013- probability [EE]
Ten percent of screws produced in a certain factory turn out to be defective. Find the probability that in a sample of 10 screws chosen at random, exactly two will be defective. a) 0.2 b) 0.25 c) 0.8 d) 0.3 79.
Ten percent of screws produced in a certain factory turn out to be defective. Find the probability that in a sample of 10 screws chosen at random, exactly two will be def...
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0 votes
1 answer
123
Probablity
Suppose each of three men at a party throws his hat into the center of the room. The hats are first mixed up and each man randomly selects a hat. what is the probability that- a. All of three men select his own hat. b.None of three men select his own hats.
Suppose each of three men at a party throws his hat into the center of the room. The hats are first mixed up and each man randomly selects a hat. what is the probability...
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0 votes
3 answers
125
UGC NET CSE | July 2018 | Part 2 | Question: 80
Consider the set of all possible five-card poker hands dealt fairly from a standard deck of fifty-two cards. How many atomic events are there in the joint probability distribution? 2, 598, 960 3, 468, 960 3, 958, 590 2, 645, 590
Consider the set of all possible five-card poker hands dealt fairly from a standard deck of fifty-two cards. How many atomic events are there in the joint probability dis...
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1 votes
2 answers
126
Probability Expectation
Out of 2000 families with 4 children each how many families would you expect to have atleast one BOY..?
Out of 2000 families with 4 children each how many families would you expect to have atleast one BOY..?
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0 votes
1 answer
129
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
2 answers
131
testseries
U and V are two independent zero mean Gaussian random variables of variances 1/4 and 1/ 9. The probability P(3V  2U) is
U and V are two independent zero mean Gaussian random variables of variances 1/4 and 1/ 9. The probability P(3V  2U) is
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1 votes
2 answers
132
UGC NET CSE | Junet 2015 | Part 2 | Question: 2
Considering an experiment of tossing two fair dice, one black and one red. What is the probability that the number on the black die divides the number on red die? $\dfrac{22}{36} \\$ $\dfrac{12}{36} \\$ $\dfrac{14}{36} \\$ $\dfrac{6}{36}$
Considering an experiment of tossing two fair dice, one black and one red. What is the probability that the number on the black die divides the number on red die?$\dfrac{...
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5 votes
3 answers
135
ISRO2011-67
The arithmetic mean of attendance of $49$ students of class $\text{A}$ is $40%$ and that of $53$ students of class $\text{B}$ is $35%.$ Then the percentage of arithmetic mean of attendance of class $\text{A}$ and $\text{B}$ is $27.2\%$ $50.25\%$ $51.13\%$ $37.4\%$
The arithmetic mean of attendance of $49$ students of class $\text{A}$ is $40%$ and that of $53$ students of class $\text{B}$ is $35%.$ Then the percentage of arithmetic ...
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4 votes
2 answers
136
ISRO2009-65
If the mean of a normal frequency distribution of $1000$ items is $25$ and its standard deviation is $2.5,$ then its maximum ordinate is $\frac{1000}{\sqrt{2 \pi} } e^{-25}$ $\frac{1000}{\sqrt{2 \pi} }$ $\frac{1000}{\sqrt{2 \pi} } e^{-2.5}$ $\frac{400}{\sqrt{2 \pi} }$
If the mean of a normal frequency distribution of $1000$ items is $25$ and its standard deviation is $2.5,$ then its maximum ordinate is$\frac{1000}{\sqrt{2 \pi} } e^{-25...
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1 votes
4 answers
137
UGC NET CSE | December 2011 | Part 2 | Question: 49
What is the probability of choosing correctly an unknown integer between $0$ and $9$ with $3$ chances ? $\frac{963}{1000}$ $\frac{973}{1000}$ $\frac{983}{1000}$ $\frac{953}{1000}$
What is the probability of choosing correctly an unknown integer between $0$ and $9$ with $3$ chances ?$\frac{963}{1000}$$\frac{973}{1000}$$\frac{983}{1000}$$\frac{953}{1...
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0 votes
2 answers
139
Two cards are drawn together from a pack of 52 cards. The probability that one is spade and other is king is ?
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...
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