The number of viewers of American Idol has the mean of 30 million with standard deviation of 10 million. Suppose this distribution follows a normal distribution.
Determine the probability that next week's show will:
(a) Have between 34 and 43 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
(b) Have at least 26 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
(c) Exceed 56 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)