Consider the cumulative distribution function (CDF) of a random variable X:…

GATE · 2025 · DA · Data Science & AI

Consider the cumulative distribution function (CDF) of a random variable X:

FX(x)={0,x≤−1,14(x+1)2,−1≤x≤1,1,x≥1.F_X(x)=\begin{cases}0, & x\leq -1,\\ \frac{1}{4}(x+1)^2, & -1\leq x\leq 1,\\ 1, & x\geq 1.\end{cases}

The value of P(X2≤0.25)P(X^2\leq 0.25) is

  1. A.

    0.625

  2. B.

    0.25

  3. C.

    0.5

  4. D.

    0.5625

Sign up free to check your answer

Sign up free

Explore the full course: Aptitude For Gate

Loading lesson…