Question: 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

Suppose x is a normally distributed random variable with mean 100 and standard deviation 8. Draw a rough graph of the 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)

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