Test: Chapter 4 Exam Submit Test This Question: 1 pt 18 of 20 (1 complete) This

Question

Test: Chapter 4 Exam Submit Test This Question: 1 pt 18 of 20 (1 complete) This Test: 20 pts possible Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities The mean number of births per minute in a country in a recent year was about nine. Find the probability that the number of births in any given minute is (a) exactly five, (b) at least five, and (c) more than five (a) P(exactly five) Round to four decimal places as needed.) (b) P(at least five)- Round to four decimal places as needed.) (c) P(more than five)- Round to four decimal places as needed.) Which of the events are unusual? Select all that apply. A. The event in part (a) is unusual. B. The event in part (b) is unusual. C. The event in part (c) is unusual. D. None of the events are unusual.

Explanation / Answer

Answer to the question is as follows:

a. P(X=5) = P(x; ) = P(5, 9) = (e-) (x) / x! = (e-9) (95) / 5! = 0.0607268

b. P(X>=5) = (e-9) (95) / 5! + ... + (e-9) (90) / 0! = 0.94504

c. P(X>5) = P(X>=5) - P(X=5) = 0.94504-0.06073 = .88431

None of the The events are unusual , since every event has more than .05 or 5% chance of occurance

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