Mathematics · Probability Distributions
Let X be a random variable with the cumulative distribution function FX(x) = 0 if x < 0; (x + 2)/5 if 0 ≤ x < 2; and 1 if x ≥ 2. Then, which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1E(X2) = 43
- 2P(|X - 45| ≥ 1) = 1925
- 3The upper bound of P(|X - 45| ≥ 1), using Chebyshev's inequality, is 5275✓
- 4The value of the moment generating function MX(t) at t = 1 is e2 - 15
Correct answer
The upper bound of P(|X - 45| ≥ 1), using Chebyshev's inequality, is 5275
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