#25 In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.8 inches and a standard deviation of 2.0 inches. A study participant is randomly selected.

(a) Find the probability that a study participant has a height that is less than 66 inches

(b) Find the probability that a study participant has a height that is between 66 and 71 inches

(c) Find the probability that a study participant has a height that is more than 71 inches

(d) Identify any unusual events. Choose the correct answer below

a. None of the events are unusual because all probabilities are greater than 0.05

b. The event in part (a) is unusual because the probability is less than 0.05

c. The event in part (b) is unusual because the probability is less than 0.05

d. The events in part (b) and (c) are unusual because the probability are less than 0.05

#22 44% of adults say cashews are their favorite kind of nut. You randomly select 10 adults and ask each to name his or her favorite nut.

Find the probability that the number who say cashews are their favorite nut is (a) exactly five, (b) at least six, and (c) less than 4. If convenient, use technology to find the probabilities