ScubaTime
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PLEASE help me out!! I just need an explanation of how to solve!
The mean household income for a certain state is $70,000 with a standard deviation of $10,000. Assuming a Normal distribution, about 95 percent of all households have an income over what amount?
I was told the answer is $53,551. How do I get this??

Respuesta :

amna04352

Answer:

$53,550

Step-by-step explanation:

X ~ N(70,000 , 10,000²)

P(X > t) = 0.95

z = -1.645

-1.645 = (t - 70000)/10000

t - 70000 = -16450

t = 53,550

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