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19 April, 10:25

The distribution of the amount of money spent by first-time gamblers at a major casino in Las Vegas is approximately normal in shape with a mean of $600 and a standard deviation of $120. According to the standard deviation rule, almost 84% of gamblers spend more than what amount of money at this casino?

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  1. 19 April, 13:44
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    amount of money = 480

    Explanation:

    given data

    mean = $600

    standard deviation SD = $120

    amblers spend = 84%

    solution

    As here 84% values fall within ±1 SD of mean

    so here 16% above = mean + 1 * SD

    and 16% below = mean - 1 * SD

    so by standard deviation rule

    about 84% more than = mean - 1 * SD

    so here

    amount of money = mean - 1 * SD

    amount of money = 600 - 1 * 120

    amount of money = 480
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