High School

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:

1. The number of men weighing more than 165 pounds is about ______.
2. The number of men weighing less than 135 pounds is about ______.

Answer :

Answer: Both boxes is 160

Step-by-step explanation: Edmentum / Plato

From the data we can conclude that the number of men weighing more than 165 pounds is about 0.3413 and man 135 pounds is about 0.3413.

What is normal distribution?

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Given that, 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.

According to the topic, let's all the mean u and the standard deviation is σ

So, u=150 and σ=15

So, P(x>165)=P(x>150+15)

= 1/2 (150-15

= 1/2 ×0.6826

= 0.3413

P(x>135)=P(x>150-15)

= 1/2 (150-15

= 1/2 ×0.6826

= 0.3413

Therefore, from the data we can conclude that the number of men weighing more than 165 pounds is about 0.3413 and man 135 pounds is about 0.3413.

To learn more about the normal distribution visit:

https://brainly.com/question/14916937.

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