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23 October, 17:16

The mean life of a Brand Q car battery is 36 months. The standard deviation is 4 months. 68% of all batteries will have a life between months and months.

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  1. 23 October, 17:27
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    68% of all batteries will have a life between 32 months and 40 months.

    Step-by-step explanation:

    The Empirical Rule states that, for a normally distributed random variable:

    68% of the measures are within 1 standard deviation of the mean.

    95% of the measures are within 2 standard deviation of the mean.

    99.7% of the measures are within 3 standard deviations of the mean.

    In this problem, we have that:

    Mean = 36.

    Standard deviation = 4.

    68% within 1 standard deviation of the mean.

    36 - 4 = 32

    36 + 4 = 40

    68% of all batteries will have a life between 32 months and 40 months.
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