GATE2014-2

Milicevic3306 asked in Probability and Statistics Mar 26, 2018 retagged Mar 18, 2021 by Lakshman Bhaiya

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If an unbiased coin is tossed $10$ times, the probability that all outcomes are same will be_______ $ \times 10^{-5}$

gate2014
probability-and-statistics
probability
conditional-probability
numerical-answers

Milicevic3306 asked in Probability and Statistics Mar 26, 2018 retagged Mar 18, 2021 by Lakshman Bhaiya

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Milicevic3306 asked in Probability and Statistics Mar 26, 2018

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For the probability density $P(x) = 0.5e^{-0.5x}$, the integral $\displaystyle \int_0^{\infty}P(x)dx =$ __________

Milicevic3306 asked in Probability and Statistics Mar 26, 2018

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The probability distribution for a discrete random variable $X$ is given below. $\begin{array}{|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 \\ \hline P(X) & 0.3 & 0.4 & 0.2 & 0.1 \\ \hline \end{array}$The expectation value of $X$ is (up to one decimal place) _____________

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