Solved by Expert Tutors
Solved by Expert Tutors
Question

Question 3(a):

When customers arrive at Cool's Ice Cream Shop, they take a number and wait to be called to purchase ice cream from one of the counter servers. From experience in past summers, the store's staff knows that customers arrive at a rate of 150 per hour on summer days between 3:00 p.m. and 10:00 p.m., and a server can serve 1 customer in 1 minute on average. Cool's wants to make sure that customers wait no longer than 10 minutes for service. Cool's is contemplating keeping three servers behind the ice cream counter during the peak summer hours.

(i) Will this number be adequate to meet the waiting time policy?

(ii) What will be the probability that 3 to 4 customers in Shop?

(iii) In winter season, arrival rate of customer is reduced to half from 3:00 p.m. and 10:00 p.m. What decision should be taken by the owner according to cost cutting point of view?

Question 3(b):

Analysis of arrivals at a PSO gas station with a single pump (filler) has shown the time between arrivals with a mean of 10 minutes. Service times were observed with a mean time of 6 minutes.

(i) What is the probability that a car will have to wait?

(ii) What is the mean number of customers at the station?

(iii) What is the mean number of customers waiting to be served?

(iv) PSO is willing to install a second pump when convinced that an arrival would expect to wait at least twelve minutes for the gas. By how much the flow of arrivals is increased in order to justify a second booth?

Step-by-step answer

ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiacinia pulvi

one

ec fac

ec facilisis. Pellentesque dapibus effic

ng elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus eff

nec facilisis. Pellente

ctu

icitur laoreet. Nam risus auet, consectetur adipiscing eli

lestie consequat, ultrices ac mauaciniaum ipsum dolor sit amet, consectetur a

sum dolor sit amet, con

entesque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie coutrices ac magna. Fusce dui lectlu

php5L8qq7.png


consectetur adipiscing elit. Nam lacinia pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante, dapibus a molestie consequ

cing

amet, consectetur adipiscing elit.0itur laoreet. Nam risus ante, dapibus

xxlestie consequat,x, dictu0fficitur laoreet. Nam risus ante, dapibus a mo

xllestie consequat,l, dictu0trices ac magna. Furisusor nec facilisis. Pellentesque dapibus effi

m ipsum dolor sit amet, consectetur adipiscing elitx, dictulce dui lect

ipsum

s a molestie consequat, ultrices ac mag

ctum vitae odio. Donec aliquet

sus anteunec facilisis. Pellentesque dapibus eff


phppl08s2.png

pulvinar tortor nec facilisis. Pellentesque dapibus efficitur laoreet. Nam risus ante, dapib


ic

usce dui lectus, congue vel laoreet ac, dictum vitae odio. Donec aliquet. Lo

a. Fusce dui lectus, congue vel laoreet ac, dictum vitae odio. Donec aliqu

ctu

ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur ad

cing

at, ultrices ac magna. Fusce dui lectus, congue v,onec aliquet. Lorem ipsum dolor sit amet, consec

ipsum

Fusce dui lectus, congue vel laoreet ac,uur laoreetlfacilisis. Pellentesque dapibus efficitur laoreet. Nam ris

ce d

e vel laoreet ac, dictum vitae odio.urem ipsum dolor sit amet, cons

mol

cuo. Donec aliquet. Lorem ipsum dolor sit

itur laoreet. Nam risus ante, dapi

usce dui lectus, cong

cing elit. Nam l

ce dui lectus, congue vel laoreet ac, dictum vitae odio. Donec aliquet. Lorem ipsum dolor sit amet, consectetur adipiscing elit. Nam lac

php5L8qq7.png
r

Subscribe to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question
Let our 24/7 Statistics and Probability tutors help you get unstuck! Ask your first question.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes