A recent survey reported that 22% of adults 55 and older own a smart phone. (Data extracted from "Who Owns a Smartphone?" USA Today, March 5, 2012, p. 1A.) Using the binomial distribution, what is the probability that in the next six adults 55 and older surveyed,
a. Four will own a smart phone?
b. All six will own a smart phone?
c. At least four will own a smart phone?
d. What are the mean and standard deviation of the number of adults 55 and older who will own a smart phone in a survey of six?
e. What assumptions do you need to make in (a) through (c)?