Question
Download Solution PDFLet X be the discrete random variable with PMF (x) =
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
PMF(x) = 1/2x, x = 1, 2, 3 -----
Formula
P(X > 4) = 1 – P(X ≤ 4)
Calculation
P(X > 4) = 1 – P(X ≤ 4)
⇒ 1 – [P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)]
⇒ 1 – [1/21 + ½2 + ½3 + ½4]
⇒ 1 – [1/2 + ¼ + 1/8 + 1/16]
⇒ 1 – [(8 + 4 + 2 + 1)/16]
⇒ 1 – [15/16]
⇒ (16 – 15)/16
∴ The value of P(X > 4) is 1/16
Probability mass function or PMF is defined as the set of ordered pair [x, f(x)] if for each possible outcome x, f(x) satisfies the following condition
F(x) ≥ 0
∑ f(x) = 1
Last updated on Jul 22, 2025
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