Chapter 6.3, Problem 30E

Playing Video Games. Suppose that of those individuals who play video and computer games, 18% are under 18 years old, 53% are 18–59 years old, and 29% are over 59 years old. Use the normal approximation of the binomial distribution to answer the questions below.

1. a. For a sample of 800 people who play these games, how many would you expect to be under 18 years of age?
2. b. For a sample of 600 people who play these games, what is the probability that fewer than 100 will be under 18 years of age?
3. c. For a sample of 800 people who play these games, what is the probability that 200 or more will be over 59 years of age?