Statistics Homework Solutions
Problem
#3404

Family incomes in two particular neighborhoods follow a normal distribution.

QUESTION: Example:  Family incomes in two particular neighborhoods follow a normal distribution.  For Neighborhood 1 the mean is $26,500, with a standard deviation of $15,000.  For Neighborhood 2, the mean is $30,000 with a standard deviation of $18,000.

A)  What proportion of families in Neighborhood 1 have incomes below the mean family income in Neighborhood 2?

B)  What income level in Neighborhood 1 represents the top 10% for that neighborhood?

C)  What income level for neighborhood 2 represents the lowest 5% of incomes for that neighborhoods?

D)  For neighborhood 1, what percentage of families have incomes that fall between the mean incomes of Neighborhood 1 and neighborhood 2?

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