The Reds and the Cubs are playing 4 games. For each game, the probability that the Reds win is 0.57. The probability of the Reds winning is not affected by who has won any previous games.
(a) What is the expected value for the number of games the Reds will win? (Give your answer correct to two decimal places.)
(b) What is the expected value for the number of games the Cubs will win? (Give your answer correct to two decimal places.)
Data shows that 92% of the people in a certain population are right-handed. A group of 10 people from this population are selected at random.
(a) What would be the expected value for the number of right-handed people in the group?
(b) What is the probability that exactly 8 of the people in the group are right-handed?
(c) What is the probability that at least 8 of the people in the group are right-handed?