Based on recent records, the manager of a car painting center has determined the following probability distribution for the number of customers per day X f(x) 0 05 1 20 2 30 3 25 4 15 5 05 (a) If the center has the capacity to serve two customers per day, what is the probability that one or more cu...

Here X the number of customers per day a Customers will be turned away if there are 3 or more cus ...

Based on recent records, the manager of a car painting center has determined the following probability distribution

Question:

Based on recent records, the manager of a car painting center has determined the following probability for the number of customers per day.
X f(x)
0........................................ .05
1........................................ .20
2........................................ .30
3........................................ .25
4........................................ .15
5........................................ .05
(a) If the center has the capacity to serve two customers per day, what is the probability that one or more customers will be turned away on a given day?
(b) What is the probability that the center's capacity will not be fully utilized on a day?
(c) By how much must the capacity be increased so the probability of turning a customer away is no more than .10?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...