The number of viewers of American Idol has a mean of 32 million with a standard deviation of 4 million. Assume this distribution follows a normal distribution.
What is the probability that next week's show will:
(a) Have between 36 and 43 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
(b) Have at least 29 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
(c) Exceed 47 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)