3. Dr. Eliplim Agbenoxevi works in the Quality Control Department of a large Information Technology company in Ghana. The time, T minutes, it takes him to analyse a sample is normally distributed with mean 18 minutes and standard deviation 5 minutes. (a) Find the probability that he takes longer than 20 minutes to analyse the next sample

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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3. Dr. Eliplim Agbenoxevi works in the Quality Control
Department of a large Information
Technology company in Ghana. The time, T minutes, it takes
him to analyse a sample is
normally distributed with mean 18 minutes and standard
deviation 5 minutes.
(a) Find the probability that he takes longer than 20 minutes to
analyse the next sample
The Information Technology company has a large store of
samples analysed by Dr. Eliplim
Agbenoxevi with the time taken for each analysis recorded.
Another staff by name Dr. Akuvi
Wolekplime is investigating the samples that took her
colleague longer than 15 minutes to
analyse. She selects, at random, one of the samples that took
Dr. Eliplim Agbenoxevi longer
than 15 minutes to analyse.
(b) Find the probability that this sample took Dr. Akuvi
Wolekplime more than 20 minutes
to analyse, given that it took her colleague more than 15
minutes to analyse?
Transcribed Image Text:3. Dr. Eliplim Agbenoxevi works in the Quality Control Department of a large Information Technology company in Ghana. The time, T minutes, it takes him to analyse a sample is normally distributed with mean 18 minutes and standard deviation 5 minutes. (a) Find the probability that he takes longer than 20 minutes to analyse the next sample The Information Technology company has a large store of samples analysed by Dr. Eliplim Agbenoxevi with the time taken for each analysis recorded. Another staff by name Dr. Akuvi Wolekplime is investigating the samples that took her colleague longer than 15 minutes to analyse. She selects, at random, one of the samples that took Dr. Eliplim Agbenoxevi longer than 15 minutes to analyse. (b) Find the probability that this sample took Dr. Akuvi Wolekplime more than 20 minutes to analyse, given that it took her colleague more than 15 minutes to analyse?
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