Question

In: Math

The distribution of the number of viewers for the American Idol television show follows a normal...

The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 29 million with a standard deviation of 6 million.

  

What is the probability next week's show will:

  1. Have between 32 and 41 million viewers? (Round your z-score computation to 2 decimal places and final answer to 4 decimal places.)

  2. Have at least 24 million viewers? (Round your z-score computation to 2 decimal places and final answer to 4 decimal places.)

  3. Exceed 46 million viewers? (Round your z-score computation to 2 decimal places and final answer to 4 decimal places.)

Solutions

Expert Solution

Let "X" be the number of viewers for the American Idol television.

Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(2.00, TRUE)" & "=NORM.S.DIST(0.50, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(-1, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(2.83, TRUE)" to find the probability.


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