(13.01) when an opinion poll calls residential telephone numbers at random, only

Question

(13.01) when an opinion poll calls residential telephone numbers at random, only 20% of the calls reach a live person. You watch the random dialing machine make 15 calls. X is the number that reach a live person. eBook 1. Does X have a binomial distribution? o A. No, the calls are not independent o B. No, the calls are independent, but each one has more than two possibilities o c. Yes, the calls are independent, each one has two possibilities, and the probability of reaching a live person is the same for each call D. No, the calls are independent, each one has two possibilities, but the probability of reaching a live person is not the same for each call

Explanation / Answer

1. Binomial distribution needs to satify below conditions

n needs to be constant, p is same for all, only two possibilities, and events are independent.

All this conditions are been satisfied in the given problem.

Hence answer is C.

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