A random variable, x, has a normal distribution with μ = 13.6 and σ = 2.90. Determine a value, x0, so that P(μ - x0 ≤ x ≤ μ + x0) = 0.95.
A) 7.916
B) 4.535
C) 3.178
D) 9.425

Name: A random variable, x, has a normal distribution with μ = 13.6 and σ = 2.90. Determine a value, x0, so that P(μ - x0 ≤ x ≤ μ + x0) = 0.95. A) 7.916 B) 4.535 C) 3.178 D) 9.425
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Question

Quizplus · Accepted Answer

The z-score corresponding to a probability of 0.95 is 1.96. Therefore, x0 = z * σ = 1.96 * 2.90 = 5.686. The correct answer is A.

A Random Variable, X, Has a Normal Distribution with μ