Daytime high temperatures in New York in February are normally distributed with an average of 30.2º and a standard deviation of 8.5º. Estimate the probability that the temperature on a given day in February is 39º or higher.

Question

Mathematics

Eileen Steele

27 June, 17:49

Daytime high temperatures in New York in February are normally distributed with an average of 30.2º and a standard deviation of 8.5º. Estimate the probability that the temperature on a given day in February is 39º or higher.

+2

Answers (1)

Know the Answer?

Jensen Mcbride · Answer 1

We are given

u = 30.2

s = 8.5

x ≥ 39

First, we get the z-score

z = (x - u) / s

Subsituting

z = (39 - 30.2) / 8.5

z = 1.04

From the z table, the probability is

100% - 85.08% = 14.92%