X has a normal distribution with the given mean and standard deviation. Find the indicated probability.𝜇 = 57, 𝜎 = 10, find P(32 ≤ X ≤ 62)

Question

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X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

𝜇 = 57, 𝜎 = 10, find P(32 ≤ X ≤ 62)

Answer 1

57-32 = 25

25/10 = 2.5 = z score which has .4958 on the z tables

62-57= 5

5/10 = 0.5 = z score which has .1915 on z tables

add them

.4958+.1915 = .6853

P(32<x<62) = 0.6853