The customer service department for a wholesale electronics outlet claims that 8

Question

The customer service department for a wholesale electronics outlet claims that 80 percent of all customer complaints are resolved to the satisfaction of the customer In order to test this claim # random sample of 15 customers who have filed complaints is selected Find each of the following if we assume that the claim is true (Do not round intermediate calculations. Round final answers to 4 decimal places.) Suppose that of the 15 customer selected 9 have had their complaints resolved satisfactorily. Using part b, do you believe the claim of 80 percent satisfaction? Explain

Explanation / Answer

b) n=15,p=0.8

1) P(x<=13) = 1-[P(x=14)+P(x=15)]=0.8328

2) P(x>10)=P(x=11)+P(x=12)+P(x=13)+P(x=14)+P(x=15)=0.8357

3)P(x>=14)=P(x=14)+P(x=15)=0.1671

4)P(9<=x<=12)=P(x=9)+P(x=10)+P(x=11)+P(x=12)=0.5409

5)P(x<=9)=0.0611

c)No; if the claim is true, the probability that 9 or fewer are not satisfied is only .0611

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