Tracy, working as a single hairstylist at coiffeur, dresses hair of women at a rate of 5 women per hour. The hairdressing time is exponentially distributed. Women arrive to the coiffeur according to a Poisson distribution with a rate of 4 per hour. a) What is the probability that Tracy is busy? b) What is the probability that there are 3 or more women in the coiffeur? c) On average, how many women are waiting for hairdressing?
Tracy, working as a single hairstylist at coiffeur, dresses hair of women at a rate of 5 women per hour. The hairdressing time is exponentially distributed. Women arrive to the coiffeur according to a Poisson distribution with a rate of 4 per hour. a) What is the probability that Tracy is busy? b) What is the probability that there are 3 or more women in the coiffeur? c) On average, how many women are waiting for hairdressing?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Tracy, working as a single hairstylist at coiffeur, dresses hair of women at a rate of 5 women per hour. The hairdressing time is exponentially distributed. Women arrive to the coiffeur according to a Poisson distribution with a rate of 4 per hour.
- a) What is the probability that Tracy is busy?
- b) What is the probability that there are 3 or more women in the coiffeur?
- c) On average, how many women are waiting for hairdressing?
- d) On average, how long must a woman wait before hairdressing begins?
- e) What is the average time a woman spends in the coiffeur?
- f) Find the probability that a woman’s waiting time in the coiffeur is more than 90 minutes?
- g) Find the probability that total time spent by a woman in the coiffeur is more than 120 minutes?
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