Question
In: Statistics and Probability
A barber shop has two barbers, both of whom average 15 minutes/haircut (exponentially distributed). The first...
A barber shop has two barbers, both of whom average 15 minutes/haircut (exponentially distributed). The first customer Joe arrives when both barbers are free and starts his haircut. A second customer Jack arrives 10 minutes later while Joe is still getting his haircut. Finally, a third customer John arrives another 20 minutes later, while both Joe and Jack are still having their haircuts. Assuming that no other customers arrive in this 30-minute interval:
a. What is the probability that Joe will be done before Jack?
b. What is the chance that John will be done before Joe?
c. What is the probability that John will be done before Jack?
Solutions
orchestra answered 1 year agoRelated Solutions
In a barber, the rate for the number of customers is 3 per hour. On average, the barber can serve customers at a rate of one every 15 minutes.
In a barber, the rate for the number of customers is 3 per hour. On average, the barber can serve customers at a rate of one every 15 minutes.A) Find an average number of the customers in the barber (system) and queue?B) Find average waiting time in the barber and queue?C) What is the probability that the barber be empty?D) What is the probability that exactly 2 customers present in the system? C) with which probability that the number of...
Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.1...
Problem 15-9 (Algorithmic)
Marty's Barber Shop has one barber. Customers have an arrival
rate of 2.1 customers per hour, and haircuts are given with a
service rate of 5 per hour. Use the Poisson arrivals and
exponential service times model to answer the following
questions:
What is the probability that no units are in the system? If
required, round your answer to four decimal places.
P0 =
What is the probability that one customer is receiving a
haircut and no...
Problem 15-9 (Algorithmic) Marty's Barber Shop has one barber. Customers have an arrival rate of 2.1...
Problem 15-9
(Algorithmic)
Marty's Barber Shop
has one barber. Customers have an arrival rate of 2.1 customers per
hour, and haircuts are given with a service rate of 4 per hour. Use
the Poisson arrivals and exponential service times model to answer
the following questions:
What is the probability that no units are in the system? If
required, round your answer to four decimal places.
P0 = ?????
What is the probability that one customer is receiving a
haircut and...
A barber shop has an average of 12 customers between 8.00am and 9.00am every Saturday. Customers arrive according to Poisson distribution. Let X represent the time between arrivals.
A barber shop has an average of 12 customers between 8.00am and 9.00am every Saturday. Customers arrive according to Poisson distribution. Let X represent the time between arrivals.
(a) Construct the distribution for the random variable X?
(b) Find the mean and standard deviation of X.
(c) What is the probability that the time between consecutive arrivals (customers) will fall between 3 and 6 minutes?
A computer repair shop has two work centers. The first center examines the computer to see...
A computer repair shop has two work centers. The first center
examines the computer to see what is wrong, and the second center
repairs the computer. Let x1 and
x2 be random variables representing the lengths
of time in minutes to examine a computer (x1)
and to repair a computer (x2). Assume
x1 and x2 are independent
random variables. Long-term history has shown the following
times.
Examine computer, x1: μ1
= 28.6 minutes; σ1 = 7.3 minutes
Repair computer, x2:...
This question has two parts. Please answer both, thank you! Part A.) On the first day...
This question has two parts. Please answer both, thank you!
Part A.) On the first day of the fiscal year, a company issues a
$8,200,000, 9%, 9-year bond that pays semiannual interest of
$369,000 ($8,200,000 × 9% × ½), receiving cash of $6,868,206.
Journalize the first interest payment and the amortization of
the related bond discount. Round to the nearest dollar. If an
amount box does not require an entry, leave it blank.
Interest Expense
Discount on Bonds Payable
Cash...
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