**This is timed. Answer correctly and don't take longer than 60 min to answer. Thanks**

Thirty-five percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five. . . . (a) Find the probability that the number that prefer to purchase electronics online is exactly five. P(5) = (Round to three decimal places as needed.) (b) Find the probability that the number that prefer to purchase electronics online is more than five. P(x > 5) = (Round to three decimal places as needed.) (c) Find the probability that the number that prefer to purchase electronics online is at most five. P(x$5) = (Round to three decimal places as needed.)