37% of adults say cashews are their favorite kind of nut. You randomly select 12 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) exactlythree, (b) at leastfour, and(c) at most two. Ifconvenient, use technology to find the probabilities.

(a) P(3)equals

=

(Round to the nearest thousandth asneeded.)

A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If youcan, find the mean and standard deviation. If youcannot, explain why.

A survey of adults found that 68% have used a multivitamin in the past 12 months. You randomly select 40 adults and ask them if they have used a multivitamin in the past 12 months.

Select the correct answer belowand, ifnecessary, fill in the answer boxes within your choice.

A. No, because np < 5.

B. No, because nq < 5.

C. Yes, the mean is -------- and the standard deviation is -------

(Round to two decimal places asneeded.)