Answered: Household Income in Maryland in…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Household Income in Maryland in percentages
According to Money magazine, Maryland had the highest median annual household income if any state in 2018 at $75,847. Assume that annual household income in Maryland follows a normal distribution with a median of $75,847 and standard deviation of $33,800.
a. What is the probability that a household in Maryland has an annual income of $100,000 or more?
b. What is the probability that a household in Maryland has an annual income of $40,000 or less?
c. What is the probability that a household in Maryland has an annual income between $50,000 and $70,000?
d. What is the annual income of household in the 90th percentile of annual household income in Maryland?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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