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7 December, 12:03

The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of $235 and a standard deviation of $20. According to the standard deviation rule, how much did almost all (99.7%) of the students spend on textbooks in a semester?

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  1. 7 December, 12:27
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    Answer: $295

    Explanation:

    Given that,

    Amount spent by the students is normal in shape

    Mean = $235

    Standard deviation = $20

    99.7% is within 3 standard deviations of the mean:

    = Mean + 3 * Standard deviation

    = $235 + 3 * $20

    = $235 + $60

    = $295

    The amount of $295 is spent by all the students on textbooks.
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