Show your Work!) **USE THE BINOMIAL PROBABILITY DISTRIBUTION FORMULA** A poll found that 68% of students do not study at all while on fall or spring break. In a random sample of 11 students, let x represent the number who do not study while on fall or spring break. Complete parts a. through e.

3.

a. For this experiment, define the event that represents a "success." Circle the correct answer below.

A. Students not studying during fall or spring break

B. Students studying during fall or spring break.

b. Explain why x is a binomial random variable or is not. Circle the correct answer below.

A. The experiment consists of identical trials, there are more than two possible outcomes on each

trial, and the trials are dependent.

B. The trials are not independent.

C. The experiment consists of only identical trials.

D. There are three possible outcomes on each trial.

E. The experiment consists of identical trials,,there are only two possible outcomes on each trial,,

and the trials are independent.

c. Calculate the following

= 2 =

=

(Round to the nearest tenth as needed.) (Round to the nearest hundredth as needed.)

(Round to the nearest thousandth as needed.)

d. Find p(x = 6)

(Round to three decimal places as needed.)

e. Find the probability that more than 9 students study during the fall or spring break. (Round to four decimal places as needed)