The actual time taken by an auto service shop to change the oil in a pickup truck is exponentially distributed with a mean of 21 minutes. a. What is the probability that the oil change time will exceed 24 minutes? b. What proportion of oil changes will be completed within 18 minutes? a. The probability that the oil change time will exceed 24 minutes is. (Round to four decimal places as needed.) b. The proportion of oil changes that will be completed within 18 minutes is. (Round to four decimal places as needed,.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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The actual time taken by an auto service shop to change the oil in a pickup truck is exponentially distributed with a mean of 21 minutes.
a. What is the probability that the oil change time will exceed 24 minutes?
b. What proportion of oil changes will be completed within 18 minutes?
a. The probability that the oil change time will exceed 24 minutes is
(Round to four decimal places as needed.)
b. The proportion of oil changes that will be completed within 18 minutes is.
(Round to four decimal places as needed,.)
Transcribed Image Text:The actual time taken by an auto service shop to change the oil in a pickup truck is exponentially distributed with a mean of 21 minutes. a. What is the probability that the oil change time will exceed 24 minutes? b. What proportion of oil changes will be completed within 18 minutes? a. The probability that the oil change time will exceed 24 minutes is (Round to four decimal places as needed.) b. The proportion of oil changes that will be completed within 18 minutes is. (Round to four decimal places as needed,.)
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