According to Verto Analytics, Inc., 53% of 30- to-34-year-olds in the United States own tablets. (Data extracted from "The Impact of Income and Age on Device Ownership," bit.ly/1yR21gL.) Using the binomial distribution, what is the probability that in the next six 30- to-34-year-olds surveyed

a. Four will own a tablet?

b. All six will own a tablet?

c. At least four will own a tablet?

d. What are the mean and standard deviation of the number of 30 to-34-year-olds who will own a tablet in a survey of six?

e. What assumptions do you need to make in (a) through (c)?