Question: Suppose that the random variable x is normally distributed with mean m 1,000 and standard deviation s 100. Sketch and find each of the following

Suppose that the random variable x is normally distributed with mean m 1,000 and standard deviation s 100. Sketch and find each of the following probabilities:

a. P(1,000 ≤ x ≤ 1,200)

b. P(x > 1,257)

c. P(x < 1,035)

d. P(857 ≤ x ≤ 1,183)

e. P(x ≤ 700)

f. P(812 ≤ x ≤ 913)

g. P(x > 891)

h. P(1,050 ≤ x ≤ 1,250)

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