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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

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|}\hline \textbf{Year}& \textbf{2026 - 1}& \textbf{2026 - 2}& \textbf{2025 - 1}& \textbf{2025 - 2}& \textbf{2024 - 1}& \textbf{2024 - 2}& \textbf{2023}& \textbf{2022}& \textbf{2021 - 1}& \textbf{2021 - 2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}\\\hline \textbf{1 Mark Count}&1&1&1&0&2&1&0&0&1&1&0&0.8&2\\\hline \textbf{2 Marks Count}&1&1&1&2&1&1&1&0&2&2&0&1.2&2\\\hline \textbf{Total Marks}&3&3&3&4&4&3&2&0&5&5&\bf{0}&\bf{3.2}&\bf{5}\\\hline \end{array}}}$$

Recent activity in Probability

53 53 votes
10 10 answers
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Let $x$ and $y$ be random variables, not necessarily independent, that take real values in the interval $[0,1]$. Let $z=x y$ and let the mean values of $x, y, z$ be $\bar...
10 10 votes
4 4 answers
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The probability density function $f(x)$ of a random variable $X$ which takes real values is\[f(x)=\frac{1}{3 \sqrt{2 \pi}} \exp \left(-\frac{x^{2}}{18}\right), \quad x \i...
1 1 vote
0 0 answers
30
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66 66 votes
8 answers 8 answers
20.9k
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0 0 votes
0 0 answers
427
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[closed] GATE 2015 IN
121 121 votes
18 answers 18 answers
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4 4 votes
4 4 answers
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4 4 votes
6 6 answers
726
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2 2 votes
3 3 answers
226
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3 3 votes
3 3 answers
243
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262
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825
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34 34 votes
4 answers 4 answers
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54 54 votes
7 answers 7 answers
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292
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5 5 votes
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382
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358
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49 49 votes
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