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)?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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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