data collected by the substance abuse and mental health services administration (samsha) suggests that 69.7% of 18-20 year olds consumed alcoholic beverages in any given year.31 (a) suppose a random sample of ten 18-20 year olds is taken. is the use of the binomial distribution appropriate for calculating the probability that exactly six consumed alcoholic beverages? explain. (b) calculate the probability that exactly 6 out of 10 randomly sampled 18- 20 year olds consumed an alcoholic drink. (c) what is the probability that exactly four out of ten 18-20 year olds have not consumed an alcoholic beverage? (d) what is the probability that at most 2 out of 5 randomly sampled 18-20 year olds have consumed alcoholic beverages? (e) what is the probability that at least 1 out of 5 randomly sampled 18-20 year olds have consumed alcoholic beverages?