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GATE DA 2025 Set 1 — Question 39

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MCQ+2 / -0.67MediumCDF (Continuous)Continuous Random VariablesProbability & Statistics

Probability & Statistics → Continuous Random Variables → CDF (Continuous)

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Question

Consider the cumulative distribution function (CDF) of a random variable XX:FX(x)={0x≤−114(x+1)2−1≤x≤11x≥1F_X(x) = \begin{cases} 0 & x \le -1 \\ \frac{1}{4}(x+1)^2 & -1 \le x \le 1 \\ 1 & x \ge 1 \end{cases}The value of P(X2≤0.25)P(X^2 \le 0.25) is
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