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A used car dealership has found that the length of time before a major repair is required on the cars it sells is normally distributed with a mean of 10 months and a standard deviation of 3 months. If the dealer wants only 5 percent of the cars to fail before the end of the guarantee period for how many months should the cars be guaranteed?

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    You will need to find the z-score using a z-table. Remember the question is asking that the dealer wants only 5% of the cars to fail. Keep that in mind when looking for the z-score.

    z = (x - mean)/sd -->z-score formula

    Substitute the z-score you found, the mean, and the standard deviation into the formula, then solve for x.

    I'll let you take it from there.

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