A recent survey reported that 45% of 18- to 29-year-olds in a certain country own tablets. Using the binomial distribution, complete parts (a) through (e) below. (a) What is the probability that of the next six 18 to 29-year-olds surveyed, four will own a tablet?
(b) What is the probability that of the next six 18- to 29-year-olds surveyed, all six will own a tablet?
(c) What is the probability that of the next six 18- to 29-year-olds surveyed, at least four will own a tablet?
(d) What are the mean and standard deviation of the number of 18- to 29-year-olds who will own a tablet in a survey of six?
(e) What assumptions do you need to make in (a) through (c)?
i. The outcome of any observation is independent of the outcome of any other observation.
ii. Two outcomes are possible for each observation (success or failure).
iii. The outcome of any observation is dependent of the outcome of any other observation.
iv. The probability of an observation occurring is constant from observation to observation.