The average income tax refund for the 2009 tax year was $3143. Assume the refund per person follows the normal probability distribution with a standard deviation of $916. Complete parts a through d below. a. What is the probability that a randomly selected tax return refund will be more than $2100? 0.8729 (Round to four decimal places as needed.) C b. What is the probability that a randomly selected tax return refund will be between $1300 and $2700? 0.2934 (Round to four decimal places as needed.) c. What is the probability that a randomly selected tax return refund will be between $3200 and $4000? 0.3025 (Round to four decimal places as needed.) d. What refund amount represents the 35th percentile of tax returns? (Round to the nearest dollar as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 23PFA
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just dont understand d

 

The average income tax refund for the 2009 tax year was $3143. Assume the refund per person follows the normal probability distribution with a standard deviation of $916. Complete parts a through
d below.
a. What is the probability that a randomly selected tax return refund will be more than $2100?
0.8729 (Round to four decimal places as needed.)
b. What is the probability that a randomly selected tax return refund will be between $1300 and $2700?
0.2934 (Round to four decimal places as needed.)
c. What is the probability that a randomly selected tax return refund will be between $3200 and $4000?
0.3025 (Round to four decimal places as needed.)
d. What refund amount represents the 35th percentile of tax returns?
(Round to the nearest dollar as needed.)
Transcribed Image Text:The average income tax refund for the 2009 tax year was $3143. Assume the refund per person follows the normal probability distribution with a standard deviation of $916. Complete parts a through d below. a. What is the probability that a randomly selected tax return refund will be more than $2100? 0.8729 (Round to four decimal places as needed.) b. What is the probability that a randomly selected tax return refund will be between $1300 and $2700? 0.2934 (Round to four decimal places as needed.) c. What is the probability that a randomly selected tax return refund will be between $3200 and $4000? 0.3025 (Round to four decimal places as needed.) d. What refund amount represents the 35th percentile of tax returns? (Round to the nearest dollar as needed.)
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