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QUESTION 2 The customer service department of a local utility company claims tha

ID: 3159496 • Letter: Q

Question

QUESTION 2

The customer service department of a local utility company claims that 80% complaints are resolved to the customer's satisfaction. In a random sample of 11 customers with complaints what is the probability that exactly 8 had their complaints resolved to their satisfaction? (please round your answer to 4 decimal places)

QUESTION 3

The customer service department of a local utility company claims that 89% complaints are resolved to the customer's satisfaction. In a random sample of 114 customers with complaints how many would you expect to have had their complaints resolved to their satisfaction? (please round your answer to 1 decimal place)

Explanation / Answer

QUESTION 2

The customer service department of a local utility company claims that 80% complaints are resolved to the customer's satisfaction. In a random sample of 11 customers with complaints what is the probability that exactly 8 had their complaints resolved to their satisfaction? (please round your answer to 4 decimal places)

N=11

P=0.80

P(X=x) = (nCx) px (1-p)n-x   

P(X=8) = (11C8) 0.8x (1-0.8)11-8   

P(X = 8) = 0.2215

QUESTION 3

The customer service department of a local utility company claims that 89% complaints are resolved to the customer's satisfaction. In a random sample of 114 customers with complaints how many would you expect to have had their complaints resolved to their satisfaction? (please round your answer to 1 decimal place)

n=114,p=0.89

Expectation = np = 101.46

=101.5 ( 1 decimal)