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Statistical Analysis of 1000 Long Distance Telephone Calls

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A statistical analysis of 1000 long distance telephone calls made from the headquarters of the Bricks and Clicks Computer Corporation indicates that the length of these calls is normally distributed with u=240 seconds and sigma = 40 seconds.

a. What is the probability that a call lasted less than 180 seconds.
b. What is the probability that a call lasted between 180 and 300 seconds.
c. What is the probability that a call lasted between 110 and 180 seconds.
d. What is the length of a call if only 1% of all calls are shorter.

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Solution Summary

This solution provides calculations for z-score, probability and area under the standard normal curve.

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mu = 240, sigma = 40; z = (x - mu)/sigma

(a) z = (180 - 240)/40 = -1.5

P(x < 180 s) = P(z < -1.5) = ...

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