Let X be a continuous random variable whose cumulative distribution function…

GATE · 2025 · DA · Data Science & AI

Let X be a continuous random variable whose cumulative distribution function (CDF) FX(x), for some t, is given as follows: FX(x)={0x≤tx−t4−tt≤x≤41x≥4F_X(x)=\begin{cases}0&x\leq t\\\frac{x-t}{4-t}&t\leq x\leq 4\\1&x\geq4\end{cases}. If the median of X is 3, then what is the value of t?

  1. A.

    2

  2. B.

    1

  3. C.

    −1

  4. D.

    0

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