fabio37
14.06.2021 •
Mathematics
Potential customers arrive at a full-service, one-pump gas station at a Poisson rate of20 cars per hour. However, customers will only enter the station for gas if there are no more than two cars (including the one currently being attended to) at the pump. Suppose that the amount of time required to service a car is exponentially distributed with a mean of five minutes.
Required:
a. What fraction of the attendant’s time will be spent servicing cars?
b. What fraction of potential customers are lost?
Solved
Show answers
More tips
- H Health and Medicine What makes Graves’ disease dangerous?...
- W Work and Career 10 Best Ways To Find A Job: Tips To Land Your Dream Job...
- L Leisure and Entertainment How to Choose a Program for Cutting Music?...
- A Auto and Moto How to choose the right drive for your BMW...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Mathematics
- M Mathematics Find the values of x and y...
- M Mathematics Please help ( ^ ) Solving equations with variables on both sides...
- M Mathematics Istg this is ez sh.it but im a dum.b wh0re so give an explanation and i ll give you a cookie :)...
- M Mathematics Evaluate the algebraic expression 4v-3 if v= -5.explain...
- M Mathematics complete the factoring , if needed solve the polynomial any quality using a sign chart (x+3)(x^2-8x+15) 0...
- M Mathematics En qué se diferencia la natalidad en los países más desarrollados frente alos países menos desarrollados.....
- M Mathematics A manufacturer of golf clubs makes a profit of $45 per set on a model A set and $50 per set on a model B set. Daily production of the model A clubs is between 30 and 60...
- M Mathematics If the ratio of beakers to test tubes in a lab is 3:8, and there are 64 test tubes, how many beakers are there?...
- M Mathematics A certain state uses the following progressive tax rate for calculating individual income tax: Income Progressive Range ($) Tax Rate 0 - 2000 2001 - 9000 2% 5% 9001 and...
- M Mathematics Given: △ABC, whose sides are 25 in., 17 in., and 26 in. Find the following. (a) BD, the length (in inches) of the altitude to the 17 in. side (Hint: Use the Pythagorean...
Ответ:
a) 19/20
b) 1/20
Step-by-step explanation:
a) calculate the fraction of the attendants time will be spent servicing cars
l / L > 0 = Ц / [ Ц - λ ] = 20 --- ( 1 )
Ц (service ) = 15 hour
∴ λ ( arrival rate ) = 14.25
P = λ / Ц = 14.25 / 15 = 0.95 = 19/20
b) Fraction of potential customers lost
Ls = P / ( 1 - P )
where ; P = 19/20
Ls ( fraction of potential customers lost ) = 19/20 / ( 1 - 19/20 ) = 19
hence proportion of customers lost = 1 - 19/20 = 0.05 = 1/20
Ответ:
6x
Step-by-step explanation:
24 and 30 share a GCF of 6. x^2 and x^2y share a GCF of x as we do not know what the value of y is.