# Probability: Using the Normal Distribution

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See attached file for solution regarding a problem about a normal distribution. Provide step by step calculations.

WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the normal distribution. The mean of the distribution is 15.0 minutes and the standard deviation is 3.5 minutes. What is the probability that a particular listener will tune in:

a. More than 20 minutes?

b. For 20 minutes or less?

c. Between 10 and 12 minutes?

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##### Solution Summary

The posting helps with a probability problem involving a normal distribution. This solution provides a step by step explanation illustrating how the Z random variable can be derived. These calculations are provided in a Word document which is attached.

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Problem: WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the normal distribution. The mean of the distribution is 15.0 minutes and the standard deviation is 3.5 minutes. What is the ...

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