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?

Note- We’ll answer the first three subparts of the question since the exact one wasn’t specified.…

Answered: Tracy, working as a single hairstylist…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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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