A automobile lubrication shop keeps track of the length of time it takes to change the oil in a customer's car. From the past records they have found that the length of an oil change is normally distributed with a mean μ = 35 minutes and a standard deviation σ = 6 minutes. What is the probability that the average length of time for nine oil changes will be 40 minutes or longer?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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1. A automobile lubrication shop keeps track of the length of time it takes to change the oil in a customer's car.
From the past records they have found that the length of an oil change is normally distributed with a mean μ
= 35 minutes and a standard deviation σ = 6 minutes. What is the probability that the average length of time
for nine oil changes will be 40 minutes or longer?
Transcribed Image Text:1. A automobile lubrication shop keeps track of the length of time it takes to change the oil in a customer's car. From the past records they have found that the length of an oil change is normally distributed with a mean μ = 35 minutes and a standard deviation σ = 6 minutes. What is the probability that the average length of time for nine oil changes will be 40 minutes or longer?
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,