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

Lucy Duarte

Mathematics

20 December, 08:06

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.

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Answers (1)

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Ayana Barry · 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%