Question

The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 85 inches, and a standard deviation of 14 inches. What is the likelihood that the mean annual precipitation during 49 randomly picked years will be less than 87.8 inches?

Answer 1

Probability of choosing number = 0.9192

Explanation:

Given:

New mean = 87.8

Mean = 85

Standard deviation = 14

Number picked = 49

Find:

Probability of choosing number

Computation:

Probability of choosing number = [New mean - Mean] / [Standard deviation / √Number picked]

Probability of choosing number <= [(87.8-85)]/[(14/7)]

Probability of choosing number = 0.9192