A consumer advocate claims that 8S percent of cable television subscribers are n

Question

A consumer advocate claims that 8S percent of cable television subscribers are not satisfied with their cable service in an attempt to justify this claim a randomly selected sample of cable subscribers will be polled on this issue. Suppose that the advocate's claim Is true, and suppose that a random sample of 8 cable subscribers is selected. Assuming independence use an appropriate formula to compute the probability that 7 or more subscribers In the sample are not satisfied with their service (Do not round intermediate calculations. Round final answer to p in 1 decimal place. Round other final answers to 4 decimal places.) Suppose that the advocate's claim is true and suppose that a random sample of 20 cable subscribers is selected Assuming independence find (Do not round intermediate calculations. Round final answer to p in 1 decimal place. Round other final answers to 4 decimal places.) The probability that 12 or fewer subscriber in the sample are not satisfied with their service The probability that more than 16 subscribers in the sample are not satisfied with their service. The probability that between 16 and 18 (inclusive) subscribers in the sample are not satisfied with their service. The probability that exactly 18 subscribers in the sample are not satisfied with their service. Suppose that when we survey 20 randomly selected cable television subscribers actually not stalled with.heir service Using a probability you found in this exercise as the basis for your answer, do you believe the consumer advocate's claim? Explain. (Round your answer to 4 decimal places.)

Explanation / Answer

a. n=8

      probability = 1-( P(X = 7) + P(X = 8) )

                         =   1 - (8 C 7 0.857 . 0.251   +   8 C 8 0.858. 0.250  )

                      = 0.086

       p = 0.1

b.   n = 20

     1. probabilty = 0.005921     

     2. probability = 0.6477

     3. probability = 0.6542

     4. probablity = 0.2293

c. probability that exactly 12 are not satisfied = 0.0045

You may find the following table useful :

              

  

number unsatisfied combination   term probability           terms probabilities 1 20 1.8843E-16 3.77E-15 2 190 1.0678E-15 2.03E-13 3 1140 6.0507E-15 6.9E-12 4 4845 3.4288E-14 1.66E-10 5 15504 1.943E-13 3.01E-09 6 38760 1.101E-12 4.27E-08 7 77520 6.2391E-12 4.84E-07 8 125970 3.5355E-11 4.45E-06 9 167960 2.0034E-10 3.36E-05 10 184756 1.1353E-09 0.00021 11 167960 6.4332E-09 0.001081 12 125970 3.6455E-08 0.004592 13 77520 2.0658E-07 0.016014 14 38760 1.1706E-06 0.045373 15 15504 6.6335E-06 0.102845 16 4845 3.759E-05 0.182122 17 1140 0.00021301 0.242829 18 190 0.00120704 0.229338 19 20 0.00683992 0.136798 20 1 0.03875953 0.03876

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