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 five. Find the probability that the number of births in any given minute is (a) exactly six, (b) at least six, and (c) more than six.
(a) P(exactly six) =
(Round to four decimal places as needed.)
(b) P(at least six) =
(Round to four decimal places as needed.)
(c) P(more than six) = (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.