Question

find the indicated probabilities using the geometric distribution, the poisson distribution, or the binomial distribution. then determine if the events are unusual. use technology to find the probabilities.

sixty-eight percent of parents of children ages 8-14 say they are willing to get a second or part-time job to pay for their childrens college education. you randomly select six parents. find the probability that the number who say they are willing to get a second or part-time job to pay for their childrens college education is (a) exactly two, (b) less than five, and (c) at least two.

(a) \\(p(2) = 0.073\\)
(round to three decimal places as needed.)

(b) \\(p(x < 5) = 0.622\\)
(round to three decimal places as needed.)

(c) \\(p(x \ge 2) = 0.985\\)
(round to three decimal places as needed.)

which of the events is/are unusual? select all that apply.

a. the event \\(p(2)\\) is unusual.
b. the event \\(p(x < 5)\\) is unusual.
c. the event \\(p(x \ge 2)\\) is unusual.
d. none of the events are unusual.

Explanation:

Identify the criteria for an unusual event

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

Evaluate the given probabilities against the threshold

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Determine the correct option

Since none of the calculated probabilities are less than or equal to \(0.05\), none of the events are unusual.

Answer:

• A. The event P(2) is unusual.
• B. The event P(X < 5) is unusual.
• C. The event P(X &ge; 2) is unusual.
• D. None of the events are unusual. (Correct answer)