# Question: In recent analyses of Census figures one in four American

In recent analyses of Census figures, one in four American counties has passed or is approaching the tipping point where black, Hispanic, and Asian children constitute a majority of the under-20 population (New York Times , August 6, 2008). Racial and ethnic minorities now account for 43% of Americans under 20.

a. What is the expected number of under-20 whites in a random sample of 5,000 Americans? What is the corresponding standard deviation?

b. What is the expected number of racial and ethnic minorities in a random sample of 5,000 under-20 Americans? What is the corresponding standard deviation?

c. If you randomly sample six American counties, what is the probability that for the under-20 population, whites have a clear majority in all of the counties?

a. What is the expected number of under-20 whites in a random sample of 5,000 Americans? What is the corresponding standard deviation?

b. What is the expected number of racial and ethnic minorities in a random sample of 5,000 under-20 Americans? What is the corresponding standard deviation?

c. If you randomly sample six American counties, what is the probability that for the under-20 population, whites have a clear majority in all of the counties?

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