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9 September, 02:18

The mean household income for a certain state is $69,000 with a standard deviation of $10,000. Assuming a normal distribution, about 95% of all households have an income over what amount?

A.$49,000

B. 52,551

C. 60,000

D. 85,449

E.$89,000

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  1. 9 September, 03:22
    0
    B. 52,551

    Step-by-step explanation:

    Use a z-table to find the corresponding z-score.

    P (z>Z) = 0.95

    P (z
    z = - 1.645

    Now find the corresponding income:

    z = (x - μ) / σ

    -1.645 = (x - 69000) / 10000

    x = 52550
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