The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 10 min and standard deviation 2 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (Hint: you can assume that the results of the two days are independent)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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The time taken by a randomly selected applicant for a mortgage to fill
out a certain form has a normal distribution with mean value 10 min and standard deviation 2 min.
If five individuals fill out a form on one day and six on another, what is the probability that the
sample average amount of time taken on each day is at most 11 min? (Hint: you can assume that
the results of the two days are independent)
Transcribed Image Text:The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 10 min and standard deviation 2 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (Hint: you can assume that the results of the two days are independent)
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