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.

fifty-one percent of u.s. adults oppose hydraulic fracturing (fracking) as a means of increasing the production of natural gas and oil in the united states. you randomly select five u.s. adults. find the probability that the number of u.s. adults who oppose fracking as a means of increasing the production of natural gas and oil in the united states is (a) exactly two, (b) less than four, and (c) at least three.

(a) p(2) = 0.306
(round to three decimal places as needed.)

(b) p(less than four) = 0.8
(round to three decimal places as needed.)

(c) p(at least three) =
(round to three decimal places as needed.)

Explanation:

Define the binomial parameters

$$
LATEXBLOCK0
$$

Calculate the individual probabilities for at least three

$$
LATEXBLOCK1
$$

Sum the probabilities and round to three decimal places

$$
LATEXBLOCK2
$$

Answer:

(c) P(at least three) = <blank>0.519</blank>
(Round to three decimal places as needed.)