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) = \\)
(round to three decimal places as needed.)

Explanation:

Identify binomial parameters

$$
LATEXBLOCK0
$$

Calculate individual probabilities for the complement

$$
LATEXBLOCK1
$$

Compute the target cumulative probability

$$
LATEXBLOCK2
$$

Answer:

(c) \(P(X \ge 2) =\) <blank>0.985</blank>
(Round to three decimal places as needed.)