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. 1. 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. 2. 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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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.

1. 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.

2. 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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