+595 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)?
+1245 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
