The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 21 million with a standard deviation of 10 million.

What is the probability next week's show will:a. Have between 22 and 31 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)b. Have at least 12 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)c. Exceed 37 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)