The city of Irvine reported that approximately 75% of residents are over the age of 60....

The city of Irvine reported that approximately 75% of residents are over the age of 60. Let X be the number of Irvine residents over the age of 60.

From a random sample of 500 Irvine residents, 350 were over the age of 60.

What is the sampling distribution of the sample proportion for the sample size of 500?

Using the distribution of X from above, what is the probability that at most 350 of the 500 Irvine residents selected will be over the age of 60?

What is the probability that at least 350 of the 500 residents in the sample were over the age of 60?

What is the probability that between 400 and 475 of the residents were over the age of 60?

Expert Solution

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350 / 500 = 0.70

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400 /500 = 0.80 and 475 /500 = 0.95

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orchestra answered 1 year ago

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