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The results of a survey indicates that the time a shopper spends in a supermarket is approximately normally distributed with an average of 45 minutes and a standard deviation of 12 minutes. A shopper enters the store. a) Sketch the distribution. b) Find the probability that the shopper will be in the store for between 9 and 57 minutes.

The results of a survey indicates that the time a shopper spends in a supermarket is approximately normally distributed with an average of 45 minutes and a standard deviation of 12 minutes. A shopper enters the store. a) Sketch the distribution. b) Find the probability that the shopper will be in the store for between 9 and 57 minutes.

A First Course in Probability (10th Edition)
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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The results of a survey indicates that the time a shopper spends in a supermarket is approximately normally distributed with an average of 45 minutes and a standard deviation of 12 minutes. A shopper enters the store. a) Sketch the distribution. b) Find the probability that the shopper will be in the store for between 9 and 57 minutes. c) Find the probability that the shopper will be in the store for more than 33 minutes. d) 200 shoppers enter the store in the early evening, approximately how many shoppers would be expected to finish shopping in less than one hour and nine minutes?
Transcribed Image Text:The results of a survey indicates that the time a shopper spends in a supermarket is approximately normally distributed with an average of 45 minutes and a standard deviation of 12 minutes. A shopper enters the store. a) Sketch the distribution. b) Find the probability that the shopper will be in the store for between 9 and 57 minutes. c) Find the probability that the shopper will be in the store for more than 33 minutes. d) 200 shoppers enter the store in the early evening, approximately how many shoppers would be expected to finish shopping in less than one hour and nine minutes?
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