The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds.

From the data, we can conclude that the number of men weighing more than 165 pounds is about, and the number of men weighing less than 135 pounds is about.

Question

Mathematics

Makena Mullen

27 November, 17:05

The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds.

From the data, we can conclude that the number of men weighing more than 165 pounds is about, and the number of men weighing less than 135 pounds is about.

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Answers (1)

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Jaylen Barrett · Answer 1

Z = (135 - μ) / σ = - 1

z = (165 - μ) / σ = 1

P (x < 135) = P (z < - 1) = 0.1587

P (165 < x) = P (1 < z) = 0.1587

.187 * 1000 = 187 more than 165

.187 * 1000 = 187 less than 135

The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds.From the data, we can conclude that the number of men weighing more than 165 pounds is about, and the number of men weighing less than 135 pounds is about.

The weights of 1,000 men in a certain town follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds.

From the data, we can conclude that the number of men weighing more than 165 pounds is about, and the number of men weighing less than 135 pounds is about.