# Question: Suppose x is a normally distributed random variable with mean

Suppose x is a normally distributed random variable with mean 100 and standard deviation 8. Draw a rough graph of the distribution of x. Locate m and the interval μ ± 2σ on the graph. Find the following probabilities:

a. P(μ – 2σ ≤ x ≤ μ + 2σ) .9544

b. P(x ≥ μ + 2σ)

c. P(x ≤ 92)

d. P(92 ≤ x ≤ 116)

e. P(92 ≤ x ≤ 96)

f. P(76 ≤ x ≤ 124)

a. P(μ – 2σ ≤ x ≤ μ + 2σ) .9544

b. P(x ≥ μ + 2σ)

c. P(x ≤ 92)

d. P(92 ≤ x ≤ 116)

e. P(92 ≤ x ≤ 96)

f. P(76 ≤ x ≤ 124)

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