1. The heights of the children at a summer camp are normally distributed with a mean of 54 inches and a standard deviation of 2.4 inches. What is the height of a child with a z-score of 1.5?

2. What is P(2≤X≤5)?

jbouyer
Mar 22, 2018

#1**+1 **

The z-score is a measure of how many standard deviations the value is from the mean. A z-score of 1.5 means that the value is 1.5 standard deviations above the mean.

1.5 x 2.4 = 3.6

54 + 3.6 = 57.6

Answer:

57.6 in

The formula is:

x = zσ + μ

z : z-score (1.5)

σ : standard deviation (2.4)

μ : mean (54)

Answer:

x = 57.6

Lightning
Mar 22, 2018