A random variable X is normally distributed with mean μ = 10 and standard deviation σ = 1.5. Find the following probabilities: (a) P(8 ≤ X ≤ 12), (b) P(X ≤ 12), (c) P(X ≥ 8.5).

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A random variable X is normally distributed with mean μ = 10 and standard deviation σ = 1.5. Find the following probabilities: (a) P(8 ≤ X ≤ 12), (b) P(X ≤ 12),
(c) P(X ≥ 8.5).

NOTE: Please explain each part, so the problem can be used as a Study Guide

A random variable X is normally distributed with mean = 10 and standard devi-
ation ở = 1.5. Find the following probabilities: (a) P(8 ≤ X ≤ 12), (b) P(X ≤ 12),
(c) P(X≥ 8.5).
Transcribed Image Text:A random variable X is normally distributed with mean = 10 and standard devi- ation ở = 1.5. Find the following probabilities: (a) P(8 ≤ X ≤ 12), (b) P(X ≤ 12), (c) P(X≥ 8.5).
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