SOLUTION: An important part of the customer service responsibilities of a cable company relates to the speed with which trouble in service can be repaired. Historically, the data show that

Question 1175123: An important part of the customer service responsibilities of a cable company relates to the speed with which
trouble in service can be repaired. Historically, the data show that the likelihood is 0.85 that troubles in a
residential service can be repaired on the same day. Use the binomial formula to calculate.
a. For the first five troubles reported on a given day, what is the probability that: All five will be repaired on
the same day?
b. For the first five troubles reported on a given day, what is the probability that: Fewer than two troubles
will be repaired on the same day?
c. For the first five troubles reported on a given day, what is the probability that: At least 3 troubles will be
repaired on the same day.
d. Find the mean number of troubles repaired on the same day?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This is 0.85^5=0.4437
-
fewer than 2 is 1 or 0
probability of 0 fixed is 0.15^5=0.00008 plus p(1)=5C1*0.85^1*0.15^4=0.0022. The sum is 0.0230 prob.
-
at least 3: probability of 2 being fixed is 5C2*0.85^2*0.15^3=0.0244. Add that to the above answer and get 0.0266. At least 3 is 1- prob of (0, 1, 2) or 0.9734. Can use calculator to get right sided probability by doing 1-probability of the left side, so 1-binomcdf(5,.85,2) will give the probability of greater than 2, which is the same as at least 3.
-
mean is np=4.25 troubles.
RELATED QUESTIONS
A cable company charges $70 per month for cable service to existing customers. Find a... (answered by ikleyn)

A software company has 3 customer service representatives. After a week of observation a... (answered by stanbon)

How would you write an equation that relates the monthly charge c, in dollars, to the... (answered by ankor@dixie-net.com)

Cannot figure this out for the life of me! Marissa has decided to change her cell... (answered by richwmiller)

A computer repair service charges $50 to come out for a service call which is applied... (answered by checkley71)

Please help! I cannot figure out how to set this problem up. I have to include the cost... (answered by checkley71)

Here are the percentages of households with cable TV for certain years Year (answered by stanbon)

In order to connect a dvd player to a tv set you need a cable with a special adaptor at... (answered by ewatrrr)

An employer interviews 9 people for 4 customer service positions in a company, and 5 of... (answered by Boreal)