Assume the hold time of callers to a cable company is normally distributed with a mean of 4.44.4 minutes and a standard deviation of 0.40.4 minute. Determine the percent of callers who are on hold for more than 4.44.4 minutes.

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Mathematics

Mcdaniel

20 October, 01:36

Assume the hold time of callers to a cable company is normally distributed with a mean of 4.44.4 minutes and a standard deviation of 0.40.4 minute. Determine the percent of callers who are on hold for more than 4.44.4 minutes.

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Rhys Ayers · Answer 1

We first determine the z-score associated with x = 4.4. Given the mean of 4.4 minutes and the standard deviation of 0.4 minutes, since the value of x is exactly equal to the mean, this is equivalent to a z-score of 0. By definition on the normal distribution, half of the distribution should be above the mean, so there should be 50% who are on hold for more than 4.4 minutes.