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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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961
probability
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8 votes
5 answers
965
CMI2012-A-07
A man has three cats. At least one is male. What is the probability that all three are male? $\frac{1}{2}$ $\frac{1}{7}$ $\frac{1}{8}$ $\frac{3}{8}$
A man has three cats. At least one is male. What is the probability that all three are male?$\frac{1}{2}$$\frac{1}{7}$$\frac{1}{8}$$\frac{3}{8}$
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7 votes
1 answer
971
ISRO-2013-71
Let $P(E)$ denote the probability of the occurrence of event $E$. If $P(A)= 0.5$ and $P(B)=1$ then the values of $P(A|B)$ and $P(B|A)$ respectively are $0.5, 0.25$ $0.25, 0.5$ $0.5, 1$ $1, 0.5$
Let $P(E)$ denote the probability of the occurrence of event $E$. If $P(A)= 0.5$ and $P(B)=1$ then the values of $P(A|B)$ and $P(B|A)$ respectively are$0.5, 0.25$$0.25, 0...
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972
UGC NET CSE | September 2013 | Part 3 | Question: 38
How many people must there be in a room before there is a 50% chance that two of them were born on the same day of the year? At least 23 At least 183 At least 366 At least 730
How many people must there be in a room before there is a 50% chance that two of them were born on the same day of the year?At least 23At least 183At least 366At least 73...
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2 answers
973
Find the probability
If 6 out of 10 people have their birthday in the 4 months of the year between February and May inclusive,then What is the probability is the next person has also his or her birthday in this 4 months?
If 6 out of 10 people have their birthday in the 4 months of the year between February and May inclusive,then What is the probability is the next person has also his or h...
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974
Probability basics
From a pack of 52 cards , 4 cards are drawn . Find the probability that they are the 4 honours of same suit ?
From a pack of 52 cards , 4 cards are drawn . Find the probability that they are the 4 honours of same suit ?
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1 votes
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975
Probability Distrubution
From a lot containing 25 items , 5 are defective and 4 are chosen at random . Let X be the numbers of defective found .Obtain the probability distribution of X if item are choosen without replacement ?
From a lot containing 25 items , 5 are defective and 4 are chosen at random . Let X be the numbers of defective found .Obtain the probability distribution of X if item ar...
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1 answer
976
probability
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0 votes
2 answers
977
Probability Distribution
A coin is tossed untill a Head appears or the Tail appear 4 time in succession . Find the probability distribution of number of tosses ?
A coin is tossed untill a Head appears or the Tail appear 4 time in succession . Find the probability distribution of number of tosses ?
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978
Probability
A bag contain 4 white and 5 black balls and another bag contain 3 white and 4 black balls . A ball is taken out from the first bag and without seeing its colour is put in second bag .A ball is taken out from the latter . Find the probability that ball drawn is white ?
A bag contain 4 white and 5 black balls and another bag contain 3 white and 4 black balls . A ball is taken out from the first bag and without seeing its colour is put i...
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979
Independent Events
Two cards are drawn from a well shuffled pack of 52 cards without replacement . What is probability one is red queen and other king is of black colour ?
Two cards are drawn from a well shuffled pack of 52 cards without replacement . What is probability one is red queen and other king is of black colour ?
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3 answers
980
Independents Events
Three cards are drawn with replaacement from a well shuffled back of cards . Find the prob that cards drawn are King queen and jack ?
Three cards are drawn with replaacement from a well shuffled back of cards . Find the prob that cards drawn are King queen and jack ?
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