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Normal Distribution

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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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Solution Summary

The expert examines family income in two particular neighborhoods to follow a normal distirbution.

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M1 = 26 500 M2 = 30,000
STD 1 = 15,000 STD 2 = 18,000

A)P(X <= 30,000)where X is the THE PROPORTION whose fam income for neighborhood 1 is less than 30,000( MEan Income for neighborhood 2).
Calculate the Z ...

Solution provided by:
  • BE, Bangalore University, India
  • MS, University of Wisconsin-Madison
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