The number of viewers of American Idol has a mean of 29 million with a standard

Chapter 0, Problem 20

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QUESTION:

The number of viewers of American Idol has a mean of 29 million with a standard deviation of 5 million. Assume this distribution follows a normal distribution. What is the probability that next weeks show will: a. Have between 30 and 34 million viewers? b. Have at least 23 million viewers? c. Exceed 40 million viewers?

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QUESTION:

The number of viewers of American Idol has a mean of 29 million with a standard deviation of 5 million. Assume this distribution follows a normal distribution. What is the probability that next weeks show will: a. Have between 30 and 34 million viewers? b. Have at least 23 million viewers? c. Exceed 40 million viewers?

ANSWER:

Step 1 of 4

Let X the random variable that represent the number of viewers for the American Idol TV for a population, and for this case we know the distribution for X is given by:

 

Where  and  with the values on this case representing millions                                    

 

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