Automobile repair costs continue to rise with the average cost now at $367 per repair.† Assume that the cost for an automobile repair is normally distributed with a standard deviation of $88. Answer the following questions about the cost of automobile repairs. (a) What is the probability that the cost will be more than $470? (Round your answer to four decimal places.)   (b) What is the probability that the cost will be less than $290? (Round your answer to four decimal places.)   (c) What is the probability that the cost will be between $290 and $470? (Round your answer to four decimal places.)   (d) If the cost for your car repair is in the lower 5% of automobile repair charges, what is your maximum possible cost in dollars? (Round your answer to the nearest cent.) $

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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Automobile repair costs continue to rise with the average cost now at $367 per repair.† Assume that the cost for an automobile repair is normally distributed with a standard deviation of $88. Answer the following questions about the cost of automobile repairs.
(a)
What is the probability that the cost will be more than $470? (Round your answer to four decimal places.)
 
(b)
What is the probability that the cost will be less than $290? (Round your answer to four decimal places.)
 
(c)
What is the probability that the cost will be between $290 and $470? (Round your answer to four decimal places.)
 
(d)
If the cost for your car repair is in the lower 5% of automobile repair charges, what is your maximum possible cost in dollars? (Round your answer to the nearest cent.)
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