(13.65 S-AQ) Telephone marketers and opinion polls use random digit dialing equi

Question

(13.65 S-AQ) Telephone marketers and opinion polls use random digit dialing equipment to call residential telephone numbers at random. The polling firm Zogby International reports that just 23% of calls reach a live person. Calls are independent.

A telemarketer places 7 calls. What is the probability (±0.0001) that none of them reaches a person?

Only 6% of calls made to residential numbers in New York City reach a person. What is the probability (±0.0001) that none of 7 calls made to New York City reaches a person?

Explanation / Answer

Ans:

i)Use binomial distribution with n=7,p=0.23

P(none)=P(x=0)=(1-0.23)^7=0.1605

ii)Use binomial distribution with n=7,p=0.06

P(none)=P(x=0)=(1-0.06)^7=0.6485

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