SOLUTION: Based on a recent Gallup poll, 45% of Americans believe that the overall state of moral values in the United States is poor. Assume this percentage holds for the entire population

Question 1197155: Based on a recent Gallup poll, 45% of Americans believe that the overall state of moral values in the United States is poor. Assume this percentage holds for the entire population.
For a random sample of 200 adult Americans, let X denote the number in the sample who do NOT believe that the overall state of moral values in the United States is poor.
Calculate the expected value of X. Round your answer to two decimal places.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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Based on a recent Gallup poll, 45% of Americans believe that the overall state of moral values
in the United States is poor. Assume this percentage holds for the entire population.
For a random sample of 200 adult Americans, let X denote the number in the sample
who do NOT believe that the overall state of moral values in the United States is poor.
Calculate the expected value of X. Round your answer to two decimal places.
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It is easy problem, and its solution is shorter than its formulation.

    45% do believe - hence, 100% - 45% = 55% do not believe (we do not count those who has no their own opinion or fluctuate).


    55% of 200 adults is  0.55*200 = 110 adults.


    ANSWER.  The expected value of X is 110.

Solved, answered and explained.

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