2
QuizMultiple Choice

Normal Distributions

Question 2 • EAP-Algebra Functions and Data Analysis B

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.

Answer
A
0.23
B
0.48
C
0.815
D
0.16

Explanation

Convert 39º to a standard score: z = (39 − 30.2) / 8.5 ≈ 1.04. The probability of being at least 1.04 standard deviations above the mean is about 0.15, which is closest to 0.16. Therefore, the estimated probability is choice D, 0.16.

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