Let 𝑋 be a discrete valued random variable with cumulative distribution…

GATE · 2026 · DA · Data Science & AI

Let 𝑋 be a discrete valued random variable with cumulative distribution function 𝐹(𝑥). Which of the following statements is/are correct?

  1. A.

    𝐹(𝑥) is always a positive function.

  2. B.

    𝐹(𝑥) is a non-decreasing function.

  3. C.

    𝐹(𝑥) has jump discontinuity.

  4. D.

    𝐹(𝑥) is a left continuous function.

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