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? (Round your answer to four decimal places.)
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? (Round your answer to four decimal places.)
A First Course in Probability (10th Edition)
10th Edition
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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Transcribed Image Text:**Problem Statement**
The time taken by a randomly selected applicant to fill out a mortgage form follows a normal distribution with a mean (\(\mu\)) of 10 minutes and a standard deviation (\(\sigma\)) of 2 minutes. If five individuals complete the form on one day and six on another, calculate the probability that the sample average time on each day is at most 11 minutes. Round your answer to four decimal places.
**Explanation**
This problem requires understanding of the normal distribution, sampling distribution of the sample mean, and probability calculations related to these concepts.
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