Seventy percent of consumers prefer to purchase electronics online. You randomly select 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)