Question

Assume a normal distribution and find the following probabilities.

(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)

(a) P(x < 25 | μ = 27 and σ = 3)
enter the probability of fewer than 25 outcomes if the mean is 27and the standard deviation is 3

(b) P(x ≥ 75 | μ = 60 and σ = 8)
enter the probability of 75or more outcomes if the mean is 60and the standard deviation is 8

(c) P(x > 57 | μ = 60 and σ = 5)
enter the probability of more than 57outcomes if the mean is 60and the standard deviation is 5

(d) P(19 < x < 27 | μ = 25 and σ = 3)
enter the probability of more than 19and fewer than 27outcomes if the mean is 25and the standard deviation is 3

(e) P(x ≥ 85 | μ = 70 and σ = 1.86)
enter the probability of 85or more outcomes if the mean is 70and the standard deviation is 1.86

Answer 1

a)

b)

c)

d)

e)