# Compute a probability

A manufacturer of hard drives knows that the average life of a hard drive is five years with a standard deviation of one year. If he only wants to warranty the drive for three years, what proportion of hard drives should he expect to replace? Assume the normal distribution.

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Solution. Let X be the life of a hard drive. By the given information, we know that X follows a normal distribution with mean 5 years and a standard deviation of one year. If he only wants ...

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This solution consists of a detailed explanation of computing a probability of a normal distribution.

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