In: Statistics and Probability
A new tax law is expected to benefit “middle income” families, those with incomes between $25,000 and $35,000. If family income is normally distributed with mean $25,000 and standard deviation $6,000, what percentage of the population will benefit from the law?
µ = 25000
sd = 6000
= P(0 < Z < 1.67)
= P(Z < 1.67) - P(Z < 0)
= 0.9522 - 0.5
= 0.4522
= 45.22%