SOLUTION: family income is believed to be normally distributed with a mean of 25000 and a standard deviation of 10000. if the poverty level is 10000 what percentage of the population lives i

Question 1193139: family income is believed to be normally distributed with a mean of 25000 and a standard deviation of 10000. if the poverty level is 10000 what percentage of the population lives in poverty
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
mean is 25000.
standard deviation is 10000.
z = (x - m) / s
z is the z-score
x is the poverty level
m is 25000
s = 1000
formula becomes z = (10000 - 25000) / 10000 = -1.5
area to the left of that z-score is equal to .06680, rounded to 5 decimal places.
here's what it looks like on a normal distribution graph.

the area to the left of 10000 indicates that the probability of getting an income of less than 10000 is equal to .06680 = 6.68%.
that says that approximately 6.68% of the population is less than the poverty line.

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