The number of viewers of American Idol has a mean of 23 million with a standard

Question

The number of viewers of American Idol has a mean of 23 million with a standard deviation of 8 million. Assume this distribution follows a normal distribution. What is the probability that next week's show will: (a) Have between 28 and 32 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.) Probability ____________ (b) Have at least 17 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.) Probability ______________ (c) Exceed 40 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.) Probability _____________

Explanation / Answer

(a) Have between 28 and 32 million viewers? P(282.13) =0.0166(check standard normal table)

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