Mathematics · Probability Distributions
Let X be a random variable with the cumulative distribution function: FX(x) = 0, if x < 0; FX(x) = x + 25, if 0 ≤ x < 2; FX(x) = 1, if x ≥ 2. Then, which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The value of the moment generating function, MX(t), at t = 1 is e2 - 15
- 2The upper bound of P(|X - 45| ≥ 1), using Chebyshev's inequality, is 5275✓
- 3P(|X - 45| ≥ 1) = 1925
- 4E(X2) = 43
Correct answer
The upper bound of P(|X - 45| ≥ 1), using Chebyshev's inequality, is 5275
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