The National Vaccine Information Center estimates that 90% of Americans have had chickenpox by the time they reach adulthood. a) Suppose we take a random sample of 100 American adults. We want to nd the exact probability that 94 of the 100 have had chickenpox before adulthood. which of the 4 conditions for the binomial distribution apply to this scenario? Check all that apply. [1 There is a fixed number of observations. [1 The observations are all independent. [1 Each observation falls into one ofjust two categories, Dsuccesslzl and ElfailureD. D The probability of success is the same for all observations. b) Using Excel or the binomial probability formula, find the exact probability that 94 of the 100 have had chickenpox before adulthood. Give your answer to four decimal places. Probability : 0 05958 v c) Use Excel or the binomial probability formula to nd the probability that exactly o our of a new sample of 100 American adult have NOT had chickenpox before adulthood? Give your answer to four decimal places. Probability : 0 05958 v d) what is the probability that at least 1 out of 10 randomly sampled American aduls have had chickenpox before adulthood? (Use Excel, Table c or the binomial probability formula.) Give your answer to four decimal places. Probability : 065132 x e) what is the probability that at least 3 out of 10 randomly sampled American adults have NOT had chickenpox before adulthood? (Use Excel, Table c or the binomial probability formula.) Give your answer to four decimal places. Probability : 0 9872 x