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GATE EE 2014 Set 2 — Question 37

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Engineering Mathematics → Probability → PMF, PDF & CDF

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Let XX be a random variable with probability density functionf(x)={0.2,for ∣x∣≤10.1,for 1<∣x∣≤40,otherwise.f(x) = \begin{cases} 0.2, & \text{for } |x| \leq 1 \\ 0.1, & \text{for } 1 < |x| \leq 4 \\ 0, & \text{otherwise.} \end{cases}The probability P(0.5<X<5)P(0.5 < X < 5) is __________.
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