Question

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 heart transplants performed per day in a country is about five. find the probability that the number of heart transplants performed on any given day is (a) exactly six, (b) at least eight, and (c) no more than four.

(a) p(6) = 0.146
(round to three decimal places as needed.)

(b) p(at least 8) = 0.133
(round to three decimal places as needed.)

(c) p(no more than 4) = 0.440
(round to three 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:

Identify the criteria for unusual events

An event is typically considered unusual in statistics if its probability is less than or equal to \(0.05\).

Compare calculated probabilities to the threshold

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Determine the correct option

Since all calculated probabilities are strictly greater than \(0.05\), none of the events are unusual.

Answer:

• 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. (Correct answer)