Nick has collected data to find that the body weights of the forty students in a class has a normal distribution. what is the probability that a randomly selected student has a body weight of greater than 169 pounds if the mean is 142 pounds and the standard deviation is 9 pounds? use the empirical rule.

0.0015 is he probability that a randomly selected student has a body weight of greater than 169 pounds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 142 pounds

Standard Deviation, σ = 9 pounds

We are given that the distribution of body weights is a bell shaped distribution that is a normal distribution.

Empirical Rule:

The empirical rule states that for a normal distribution 68% falls within the first standard deviation from the mean, 95% within the first two standard deviations from the mean and 99.7% within three standard deviations of the mean.

P( body weight of greater than 169 pounds)

According to empirical rule, 99.7% within three standard deviations of the mean.

Thus, we can write:

P( body weight of greater than 169 pounds)

0.0015 is he probability that a randomly selected student has a body weight of greater than 169 pounds.

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