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At a hair salon, 5 hairdressers provide identical services to customers. Customers arrive at the rate of 6 customers per hour. The standard deviation of the time between two consecutive arrivals is estimated as 8 minutes. On average, it takes a customer 40 minutes to complete the service, with a standard deviation of 7 minutes (regardless of which hairdresser provides the service). Suppose that customers don't have a preference over the hairdressers. What is the percentage of time a hairdresser is busy (i.e., providing service to a customer)?

At a hair salon, 5 hairdressers provide identical services to customers. Customers arrive at the rate of 6 customers per hour. The standard deviation of the time between two consecutive arrivals is estimated as 8 minutes. On average, it takes a customer 40 minutes to complete the service, with a standard deviation of 7 minutes (regardless of which hairdresser provides the service). Suppose that customers don't have a preference over the hairdressers. What is the percentage of time a hairdresser is busy (i.e., providing service to a customer)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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At a hair salon, 5 hairdressers provide identical services to customers. Customers arrive at the rate of 6 customers per hour. The standard deviation of the time between two consecutive arrivals is estimated as 8 minutes. On average, it takes a customer 40 minutes to complete the service, with a standard deviation of 7 minutes (regardless of which hairdresser provides the service). Suppose that customers don't have a preference over the hairdressers. What is the percentage of time a hairdresser is busy (i.e., providing service to a customer)? Note: 1. Round your answer to two decimal places. 2. Provide your answer as a percentage, but do not include the % mark. For example, if your answer is 30.126%, enter 30.13.
Transcribed Image Text:At a hair salon, 5 hairdressers provide identical services to customers. Customers arrive at the rate of 6 customers per hour. The standard deviation of the time between two consecutive arrivals is estimated as 8 minutes. On average, it takes a customer 40 minutes to complete the service, with a standard deviation of 7 minutes (regardless of which hairdresser provides the service). Suppose that customers don't have a preference over the hairdressers. What is the percentage of time a hairdresser is busy (i.e., providing service to a customer)? Note: 1. Round your answer to two decimal places. 2. Provide your answer as a percentage, but do not include the % mark. For example, if your answer is 30.126%, enter 30.13.
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