The mass function f(x) is defined as below, The value of E(|x|) is
The mass function f(x) is defined as below,
The value of E(|x|) is
Answer: C. 5/4 — Compute E(|X|) = Σ |x| P(X = x). For x = -1: |-1| × 1/4 = 1 × 1/4 = 1/4. For x = 0: |0| × 1/4 = 0. For x = 2: |2| × 1/2 = 2 × 1/2 = 1. Add the terms: 1/4 + 0…
- A.
1
- B.
-1
- C.
5/4
- D.
4/5
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Correct answer: C
Compute E(|X|) = Σ |x| P(X = x).
For x = -1: |-1| × 1/4 = 1 × 1/4 = 1/4.
For x = 0: |0| × 1/4 = 0.
For x = 2: |2| × 1/2 = 2 × 1/2 = 1.
Add the terms: 1/4 + 0 + 1 = 5/4. Answer: 5/4
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