In a particular community, 65 percent of households include a college graduate. You randomly sample 100 households in this community. Let X = the number of households that include a college graduate. a. Verify that the experiment meets the criteria for applying the binomial distribution. b. Find the mean of the binomial distribution. c. Find the standard deviation of the binomial distribution. d. Find the probability that exactly 20 household include a college graduate. e. Find the probability that at least 40 households include a college graduate. 9:10 PM DELL 7/3/2022 DELL