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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

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2024-1} &\textbf{2024-2} &\textbf{2023} &\textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} &2&1&0& 0 &1&1&0&0.83&2
\\\hline\textbf{2 Marks Count} & 1&1&1&0 &2&2&0&1.16&2
\\\hline\textbf{Total Marks} & 4&3&2&0 &5&5&\bf{0}&\bf{3.16}&\bf{5}\\\hline
\end{array}}}$$

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Hot questions in Probability

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481
SELF DOUBT
TIFR2011-A-6 IN THIS QUESTION WE GET ANSWER 6 BY THIS METHOD . SIMPLE AND STRAIGHT OKK WHEN I APPLY THIS METHOD HERE Expectated no of coin toss THEN I GET X= 1/2 (X +1 ) + 1/4 (X+2 ) (HH CASE) + 1/2 (4 ) Which makes X=6 but answer is 4 .where am i wrong
TIFR2011-A-6 IN THIS QUESTION WE GET ANSWER 6 BY THIS METHOD . SIMPLE AND STRAIGHTOKK WHEN I APPLY THIS METHOD HERE Expectated no of coin toss THEN I GET X= 1/2 (X +1 ) ...
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482
Probability - Gravner-64.a
Roll a fair die repeatedly. Let X be the number of 6's in the first 10 rolls and let Y the number of rolls needed to obtain a 3. (a) Write down the probability mass function of X.
Roll a fair die repeatedly. Let X be the number of 6's in the first 10 rolls and let Y the number of rolls needed to obtain a 3.(a) Write down the probability mass functi...
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484
Probability- Gravner- 82.a
Roll a die $n$ times and let $M$ be the number of times you roll $6$. Assume that $n$ is large. (a) Compute the expectation $EM$.
Roll a die $n$ times and let $M$ be the number of times you roll $6$. Assume that $n$ is large.(a) Compute the expectation $EM$.
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2 answers
485
ISRO 2014- probability [EE]
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is (A) 140 (B) 196 (C) 280 (D) 346
A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him ...
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486
Basic Probability
A person throwing a dice and when even have come he got $2$ points and when odd have come he got $1$ points.What is the probability when he got exactly $6$ points?
A person throwing a dice and when even have come he got $2$ points and when odd have come he got $1$ points.What is the probability when he got exactly $6$ points?
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487
Probability of missing the bus
You arrive at bus stop some time uniformly distributed between $10:00$ and $10:15$ and bus leaves the bus stop sometime uniformly distributed between $10:00$ and $10:25$. What is the probability of you missing the bus?
You arrive at bus stop some time uniformly distributed between $10:00$ and $10:15$ and bus leaves the bus stop sometime uniformly distributed between $10:00$ and $10:25$....
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488
Sheldon Ross 5i
There are 50 people in the room, the probability that at least two share the same birthday is approximately( Consider the ordinary year)......?
There are 50 people in the room, the probability that at least two share thesame birthday is approximately( Consider the ordinary year)......?
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489
ACE Test series question
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490
TANCET 2011 STATISTICS
If mean = (3 median – mode)x, then value of x is 1) 1 2) 2 3) 1/2 4) 3/2
If mean = (3 median – mode)x, then value of x is1) 12) 23) 1/24) 3/2
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491
PROBABILITY
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492
TANCET 2016 Binomial Distribution
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493
PROBABILTY
A POINT P IS CHOOSEN AT RANDOM ON A LINE AB OF LENGTH 2L .THE PROBABILTY P[(AP*BP)>L^2/2] IS ...... AND ALSO SUGGEST THAT THESE KIND OF QUESTION ON PROBABILTY CAN ARRISE IN EXAM FOR CS BRANCH??
A POINT P IS CHOOSEN AT RANDOM ON A LINE AB OF LENGTH 2L .THE PROBABILTYP[(AP*BP)>L^2/2] IS ......AND ALSO SUGGEST THAT THESE KIND OF QUESTION ON PROBABILTY CAN ARRISE IN...
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495
ACE TEST SERIES QUESTION
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496
TANCET 2016 Probability
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497
maths
https://gateoverflow.in/87141/gate1989-3-vii what is meant by option b and c?? and is queuing theory is in syllabus??
https://gateoverflow.in/87141/gate1989-3-vii what is meant by option b and c?? and is queuing theory is in syllabus??
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498
GATE 2014 MA RANDOM VARIABLES
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499
Hk Dass
In a binomial distribution the sum and the product of mean and variance are $\Large \frac{25}{3}$ and $\Large \frac{50}{3}$ respectively. The distribution is _______. Note : I've not included the options to avoid KBC in comments
In a binomial distribution the sum and the product of mean and variance are $\Large \frac{25}{3}$ and $\Large \frac{50}{3}$ respectively. The distribution is _______.Note...
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500
SELF DOUBT
If the number of ways of selecting K coupons out of an unlimited number of coupons bearing the letters A , T , M so that they cannot be used to spell the word MAT is 93 , the K equals to _______________. a) 3 b) 5 c) 7 d) None
If the number of ways of selecting K coupons out of an unlimited number of coupons bearing the letters A , T , M so that they cannot be used to spell the word MAT is 93 ,...
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