A recent poll of over 2,000 adults was designed to answer the question "Are adults superstitious?" One survey item concerned the phrase "see a penny, pick it up, all day long you'll have

good luck." The poll found that just one-fifth of adults (20%) believe finding and picking up a penny is good luck. Consider a random sample of 15 adults and let x represent the number

who believe finding and picking up a penny is good luck. Complete parts a though f below.

O A. Sampling 2000 adults is equivalent to performing a dice-roll type experiment. The survey contains at least three options, so one of the options can be considered a success while

the others are failures. The survey changes from person to person and each survey response is independent of each other.

O B. Binomial random variables are always obtained through sampling. The survey contains at least three options, so one of the options can be considered a success while the others

are failures. The survey does not change from person to person and each survey response is dependent of all the previous responses.

O C. Binomial random variables are always obtained through sampling. The survey only contains two options and each option can be considered a success or a failure. The survey

changes from person to person and each survey response is independent of each other.

D. Sampling 2000 adults is equivalent to performing a coin-toss type experiment. The survey only contains two options and each option can be considered a success or a failure.

The survey does not change from person to person and each survey response is independent of each other.

c. Give the value of p for this binomial experiment.

p = 0.20 (Round to two decimal places as needed.)

d. Find P(x < 3).

P(x <3) = 0.398 (Round to three decimal places as needed.)

e. Find P(x = 5).

P(x =5) = 0.103 (Round to three decimal places as needed.)

f. Find P(x > 6).

P(x > 6) = 0.018 (Round to three decimal places as needed.)