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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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482
ACE TEST SERIES QUESTION
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483
Sheldon ross 5J
A deck of 52 playing cards is shuffled, and the cards are turned up one at a time until the first ace appears. Is the next card—that is, the card following the first ace—more likely to be the ace of spades or the two of clubs?
A deck of 52 playing cards is shuffled, and the cards are turned up one at a time untilthe first ace appears. Is the next card—that is, the card following the first ace...
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486
PROBABILITY
HOW TO DECIDE OR CHECK??
HOW TO DECIDE OR CHECK??
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488
Mathematics: GATE-ME-2018
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Mathematics: GATE-ME-2018
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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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492
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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494
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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495
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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496
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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497
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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498
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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499
ACE Test series question
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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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