Q9. Part A. Can we use probability models based on Bernoulli trials to investigate the following situations? Explain. a) We roll 50 dice to fins the distribution of the number of spots on the faces. b) How likely is it that in a group of 120 people the majority will have Type A blood, given that Type A is found in 43% of the population? c) We deal five cards from a deck of 52 cards and get all hearts. How likely is that? d) To predict the outcome of a vote on a public school budget, we poll 500 of the 3000 likely voters to see how many favours the proposed budget. e) A parcel delivery company realized that 10% of its packages are not being taped and sealed properly for delivery in winter conditions. In a case of 24, is it likely that more than three are unsealed? Part B 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 toy manufacturer recalls a doll because about 3% have buttons that are not properly attached. Customers return 37 of these dolls in the local toy shop. Is the manufacturer likely to find any dangerous buttons? d) A Waterloo, Ontario city council of 11 Conservatives and 8 Liberals picks a committee of four at random. What's the probability they choose all Liberals? e) A 2002 Ryerson University study found that 74% of high school students in Toronto had 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