14. High-Speed Internet. According to a report by the Commerce Department in the fall of 2004, 20% of U. S. households had some type of high-speed internet connection. Suppose 20 U. S. households are selected at
random and the number of households with high-speed internet is recorded.
a. Find the probability that exactly 5 households have high-speed internet.
b. Find the probability that at least 10 households have high-speed internet. Would this be unusual (is the
probability less than or equal to .05)?
c.
Find the probability that fewer than 4 household have high-speed internet.
d. Find the probability that between 2 and 5 household have high-speed internet.