#4 Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.

n=60, p=0.8

#5 Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.

n=128, p=.53

#6 41% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults.

Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.

#7 44% 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) exactly three, (b) at least four, and (c) at most two. If convenient, use technology to find the probabilities.

#8 Seventy-nine percent of adults in a certain country believe that life on other planets is plausible. You randomly select five adults and ask them whether they believe that life on other planets is plausible. The random variable represents the number of adults who believe that life on other planets is plausible.

Find the mean, variance, and standard deviation of the binomial distribution for the random variable. Interpret the results.

#9 Thirteen percent of U.S. employees who are late for work blame oversleeping. You randomly select four U.S. employees who are late for work and ask them whether they blame oversleeping. The random variable represents the number of U.S. employees who are late for work and blame oversleeping.

(a) Find the mean of the binomial distribution.

(b) Find the variance of the binomial distribution.

(c) Find the standard deviation of the binomial distribution.

(d) In most samples of four adults are late for work, the average number of adults that blame oversleeping would differ from the mean by no more than_____