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According to Money magazine, Maryland had the highest mean annual household income of any state in 2018 at $75,847 (Time.com website). Assume that annual household income in Maryland follows a normal distribution with a mean 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 (to 4 decimals)? .2374 b. What is the probability that a household in Maryland has an annual income of $40,000 or less (to 4 decimals)? .1444 c. What is the probability that a household in Maryland has an annual income between $50,000 and $70,000 (to 4 decimals)? .2091 d. What is the annual income of a household in the 90th percentile of annual household income in Maryland (to the nearest dollar)? $

According to Money magazine, Maryland had the highest mean annual household income of any state in 2018 at $75,847 (Time.com website). Assume that annual household income in Maryland follows a normal distribution with a mean 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 (to 4 decimals)? .2374 b. What is the probability that a household in Maryland has an annual income of $40,000 or less (to 4 decimals)? .1444 c. What is the probability that a household in Maryland has an annual income between $50,000 and $70,000 (to 4 decimals)? .2091 d. What is the annual income of a household in the 90th percentile of annual household income in Maryland (to the nearest dollar)? $

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Exercise 06.25 (Normal Probability Distribution) ◄ Question 9 of 16 ► Hint(s) Check My Work According to Money magazine, Maryland had the highest mean annual household income of any state in 2018 at $75,847 (Time.com website). Assume that annual household income in Maryland follows a normal distribution with a mean 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 (to 4 decimals)? .2374 b. What is the probability that a household in Maryland has an annual income of $40,000 or less (to 4 decimals)? .1444 c. What is the probability that a household in Maryland has an annual income between $50,000 and $70,000 (to 4 decimals)? .2091 d. What is the annual income of a household in the 90th percentile of annual household income in Maryland (to the nearest dollar)?
Transcribed Image Text:Exercise 06.25 (Normal Probability Distribution) ◄ Question 9 of 16 ► Hint(s) Check My Work According to Money magazine, Maryland had the highest mean annual household income of any state in 2018 at $75,847 (Time.com website). Assume that annual household income in Maryland follows a normal distribution with a mean 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 (to 4 decimals)? .2374 b. What is the probability that a household in Maryland has an annual income of $40,000 or less (to 4 decimals)? .1444 c. What is the probability that a household in Maryland has an annual income between $50,000 and $70,000 (to 4 decimals)? .2091 d. What is the annual income of a household in the 90th percentile of annual household income in Maryland (to the nearest dollar)?
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