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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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Highest voted questions in Probability

6 votes
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143
Probability
A fair coin is tossed 3 times in succession.If the first toss produced a head then the probability of getting exactly two heads in 3 tosses(including the first toss ) is 1/8 3/8 1/2 3/4
A fair coin is tossed 3 times in succession.If the first toss produced a head then the probability of getting exactly two heads in 3 tosses(including the first toss ) is1...
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6 votes
4 answers
144
ISRO2011-61
Three coins are tossed simultaneously. The probability that they will fall two heads and one tail is $5/8$ $1/8$ $2/3$ $3/8$
Three coins are tossed simultaneously. The probability that they will fall two heads and one tail is$5/8$$1/8$$2/3$$3/8$
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6 votes
1 answer
145
ISRO2009-66
If the pdf of a Poisson distribution is given by $f(x) = \dfrac{e^{-2} 2^x}{x!}$ then its mean is $2^x$ $2$ $-2$ $1$
If the pdf of a Poisson distribution is given by $f(x) = \dfrac{e^{-2} 2^x}{x!}$ then its mean is$2^x$$2$$-2$$1$
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5 votes
3 answers
151
ISRO2018-14
A class of $30$ students occupy a classroom containing $5$ rows of seats, with $8$ seats in each row. If the students seat themselves at random, the probability that sixth seat in the fifth row will be empty is: $1/5$ $1/3$ $1/4$ $2/5$
A class of $30$ students occupy a classroom containing $5$ rows of seats, with $8$ seats in each row. If the students seat themselves at random, the probability that sixt...
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5 votes
1 answer
155
Probability
A train and a bus arrive at random between 9 am and 10 am. The train stops for 10 minutes whereas the bus stops for 'x' minutes. Find 'x' such that the probability that the bus and train meet is 0.5. How to approach such type of questions ?
A train and a bus arrive at random between 9 am and 10 am. The train stops for 10 minutes whereas the bus stops for 'x' minutes. Find 'x' such that the probability that t...
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5 votes
1 answer
157
Mathematics: GATE 2017 MA
ANSWER GIVEN IS 0.27-0.37
ANSWER GIVEN IS 0.27-0.37
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5 votes
1 answer
160
Probability
In a boxing tournament 2n equally skilled players P1,P2,P3...........P$2^{n}$ ... $\frac{3}{4} * \frac{1}{2^{n}-1}$ D. $\frac{7}{8} * \frac{1}{2^{n}-1}$
In a boxing tournament 2n equally skilled players P1,P2,P3...........P$2^{n}$, are participating.In each round players are divided in pairs at random and winner from each...
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