Coursepack, p. 590 MAT 133: 6.2 WS 3 p.3 5. 13.6% of the U.S. population is foreign-born. You are going to select 50 unrelated, random people in the U.S. (Give 4 decimal places and P(X) notation from StatCrunch) (Source) a) State n: and p: b) Find the probability that at most 5 of the people are foreign-born. c) Find the probability that at least 8 of the people are foreign-born. d) Find the probability that between 2 and 7, inclusive, of the people are foreign-born. e) Find the probability that none of the people in the sample are foreign-born. Would this be unusual? Explain. f) Find the mean and standard deviation of this binomial experiment g) Interpret the mean and standard deviation in the context of the situation. Be specific