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According to Money magazine, Maryland had the highest median 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 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 (to 4 decimals)? 0.2374 b. What is the probability that a household in Maryland has an annual income of $40,000 or less (to 4 decimals)? 0.1731 c. What is the probability that a household in Maryland has an annual income between $50,000 and $70,000 (to 4 decimals)? 0.2091 d. What is the annual income of a household in the 90th percentile of annual household income in Maryland (to the nearest dollar)? $ 119178

According to Money magazine, Maryland had the highest median 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 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 (to 4 decimals)? 0.2374 b. What is the probability that a household in Maryland has an annual income of $40,000 or less (to 4 decimals)? 0.1731 c. What is the probability that a household in Maryland has an annual income between $50,000 and $70,000 (to 4 decimals)? 0.2091 d. What is the annual income of a household in the 90th percentile of annual household income in Maryland (to the nearest dollar)? $ 119178

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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According to Money magazine, Maryland had the highest median 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 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 (to 4 decimals)? 0.2374 b. What is the probability that a household in Maryland has an annual income of $40,000 or less (to 4 decimals)? 0.1731 c. What is the probability that a household in Maryland has an annual income between $50,000 and $70,000 (to 4 decimals)? 0.2091 d. What is the annual income of a household in the 90th percentile of annual household income in Maryland (to the nearest dollar)? $ 119178
Transcribed Image Text:According to Money magazine, Maryland had the highest median 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 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 (to 4 decimals)? 0.2374 b. What is the probability that a household in Maryland has an annual income of $40,000 or less (to 4 decimals)? 0.1731 c. What is the probability that a household in Maryland has an annual income between $50,000 and $70,000 (to 4 decimals)? 0.2091 d. What is the annual income of a household in the 90th percentile of annual household income in Maryland (to the nearest dollar)? $ 119178
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