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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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153
GATE Overflow Test Series | Probability | Test 1 | Question: 6
Two dice are rolled. The probability of getting consecutive numbers on both is ____. (Rounded to two decimal points)
Two dice are rolled. The probability of getting consecutive numbers on both is ____. (Rounded to two decimal points)
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1 answer
154
Made Easy Mock -1
how to approach this question?
how to approach this question?
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1 votes
2 answers
155
GATE Overflow Test Series | Probability | Test 1 | Question: 7
A die is rolled $6$ times. If the probability that you get different numbers is $X,1000X = $ ____ (Rounded to one decimal points)
A die is rolled $6$ times. If the probability that you get different numbers is $X,1000X = $ ____ (Rounded to one decimal points)
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1 votes
2 answers
160
GATE Overflow Test Series | Probability | Test 1 | Question: 9
A fair coin is tossed $8$ times. What is the probability that we get exactly $6$ heads? $\frac{7}{64}$ 0.0109 $\frac{\binom{8}{6}\times \binom{8}{2}}{2^{8}}$ None of the above
A fair coin is tossed $8$ times. What is the probability that we get exactly $6$ heads?$\frac{7}{64}$0.0109$\frac{\binom{8}{6}\times \binom{8}{2}}{2^{8}}$None of the abov...
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1 votes
1 answer
163
Probability Doubt
The expected number of times a 6 appears when a fair die is rolled 10 times is equal to?
The expected number of times a 6 appears when a fair die is rolled 10 times is equal to?
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1 votes
0 answers
164
DRDO CSE 2022 Paper 1 | Question: 5 (a)
Consider rolling of a dice experiment. Let $\text{A}$ be the event of getting an even number and $\mathrm{B}$ be the event of getting a prime number. Write the sets representing the following events. $\mathrm{A}$ or $\mathrm{B}$
Consider rolling of a dice experiment. Let $\text{A}$ be the event of getting an even number and $\mathrm{B}$ be the event of getting a prime number. Write the sets repre...
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47 votes
4 answers
166
GATE CSE 2017 Set 2 | Question: 48
If a random variable $X$ has a Poisson distribution with mean $5$, then the expectation $E\left [ \left ( x+2 \right )^{2} \right ]$ equals ___.
If a random variable $X$ has a Poisson distribution with mean $5$, then the expectation $E\left [ \left ( x+2 \right )^{2} \right ]$ equals ___.
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1 votes
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168
Probability Distribution
Let X have a Poisson distribution with parameter λ = 1. What is the probability that X ≥ 2 given that X ≤ 4?
Let X have a Poisson distribution with parameter λ = 1. What is the probability that X ≥ 2 given that X ≤ 4?
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20 votes
3 answers
170
GATE CSE 1996 | Question: 1.5
Two dice are thrown simultaneously. The probability that at least one of them will have $6$ facing up is $\frac{1}{36}$ $\frac{1}{3}$ $\frac{25}{36}$ $\frac{11}{36}$
Two dice are thrown simultaneously. The probability that at least one of them will have $6$ facing up is$\frac{1}{36}$$\frac{1}{3}$$\frac{25}{36}$$\frac{11}{36}$
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