Among 52- to 57-year-olds, 29% say they have danced in public while under the influence of alcohol.

Suppose five 52- to 57-year-olds are selected at random.

(a) What is the probability that all five have danced in public while under the influence of alcohol?

(b) What is the probability that at least one has not danced in public while under the influence of alcohol?

(c) What is the probability that none of the five have danced in public while under the influence of alcohol?

(d) What is the probability that at least one has danced in public while under the influence of alcohol?