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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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Recent questions in Probability

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101
if a 3 digit number
if a 3 digit number is randomly chosen what is the probability that either the number or some permutation of the number (which is a 3 digit number ) is divisible by 4 and 5
if a 3 digit number is randomly chosen what is the probability that either the number or some permutation of the number (which is a 3 digit number ) is divisible by 4 an...
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103
Testbook Test Series
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104
Testbook Quiz
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105
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106
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107
Testbook Quiz
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109
CMI-2021-Data Science
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CMI-2021-Data Science
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111
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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116
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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118
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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