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

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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