Bernoulli 2 Can we use probability models based on Bernoulli trials to investigate the following situations? Explain.

a) You are rolling five dice and need to get at least two 6s to win the game.

b) We record the eye colours found in a group of 500 people.

c) A manufacturer recalls a doll because about 3% have buttons that are not properly attached. Customers return 37 of these dolls to the local toy store. Is the manufacturer likely to find any dangerous buttons?

d) A city council of 11 Conservatives and 8 Liberals picks a committee of 4 at random. What’s the probability they choose all Liberals?

e) A 2002 Rutgers University study found that 74% of high-school students have cheated on a test at least once. Your local high-school principal conducts a survey in homerooms and 322 of the 481 students admit to cheating.