2. (13.02) When an opinion poll calls residential telephone numbers at random, o

Question

2. (13.02) 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 calls. X is the number of calls until the first live person answers. Does X have a binomial distribution? Give your reasons. eBook A. No, the calls are not independent o B. No, the calls are independent, but each one has more than two possibilities. C. No, the calls are independent but there is no fixed number of observations. o D. Yes, the calls are independent, each one has two possibilities and the probability of reaching a live person is the same for each call. E. 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

Since X is the number of calls until the first live person answers, it can have any any number of values.

The calls are independent. Each call has two possibilities, being answered or not.

The probability of reaching a live person is the same for each call.

The correct answer is D.

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