SOLUTION: Errors in a billing process often lead to customer dissatisfaction and ultimately hurt bottom-line profits. An article in Quality Progress discussed a company where 40% of the bill
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Question 587324: Errors in a billing process often lead to customer dissatisfaction and ultimately hurt bottom-line profits. An article in Quality Progress discussed a company where 40% of the bills prepared contained errors. If 10 bills are processed,what is the probability that
a. 0 bills will contain errors?
b. exactly 1 bill will contain an error?
c. 2 or more bills will contain errors?
d. What are the mean and the standard deviation of the probability distribution? Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!
The probability of successes in trials where is the probability of success on any given trial is given by:
Where is the number of combinations of things taken at a time and is calculated by
Part a)
Part b)
Computation Hints:
Part c)
Which is a computational nightmare but fortunately it is the same as:
and since
is simply the sum of the answers to Part a) and Part b), the answer to Part c is found by adding the answer to a) to the answer to b) and then subtracting the sum from 1.
Part d)
The mean of a binomial distribution is . For this problem,
The variance of a binomial distribution is . For this problem:
The standard deviation is the positive square root of the variance.
John
My calculator said it, I believe it, that settles it
