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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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121
NPTEL Assignment Question
in a class we ask the students their birthdays; one-by-one. continue till a date repeats. (Assume that there are 365 dates.) Let x := #students asked. What is P (x = k) =?, for $k \epsilon n$
in a class we ask the students their birthdays; one-by-one. continue till a date repeats.(Assume that there are 365 dates.)Let x := #students asked.What is P (x = k) =?, ...
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126
Applied Test Series
A large bowl contains 15 balls that are identical except for their colors 6 are colored red, 5 are colored blue and 4 are colored green. What is the probability that two balls selected at random from the bowl have the same color_____
A large bowl contains 15 balls that are identical except for their colors 6 are colored red, 5 are colored blue and 4 are colored green. What is the probability that two ...
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128
TIFR CSE 2021 | Part A | Question: 4
What is the probability that at least two out of four people have their birthdays in the same month, assuming their birthdays are uniformly distributed over the twelve months? $\frac{25}{48}$ $\frac{5}{8}$ $\frac{5}{12}$ $\frac{41}{96}$ $\frac{55}{96}$
What is the probability that at least two out of four people have their birthdays in the same month, assuming their birthdays are uniformly distributed over the twelve mo...
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1 votes
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139
NIELIT 2017 OCT Scientific Assistant A (CS) - Section B: 16
If $P$ is risk probability, $L$ is loss, then Risk Exposure $(RE)$ is computed as. $RE = P/L$ $RE = P + L$ $RE = P \ast L$ $RE = 2 \ast P \ast L$
If $P$ is risk probability, $L$ is loss, then Risk Exposure $(RE)$ is computed as.$RE = P/L$ $RE = P + L$$RE = P \ast L$$RE = 2 \ast P \ast L$
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1 votes
2 answers
140
NIELIT 2017 DEC Scientific Assistant A - Section B: 41
If a random coin is tossed $11$ times, then what is the probability that for $7$th toss head appears exactly $4$ times? $5/32$ $15/128$ $35/128$ None of the options
If a random coin is tossed $11$ times, then what is the probability that for $7$th toss head appears exactly $4$ times?$5/32$$15/128$$35/128$None of the options
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