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The National Vaccine Information Center estimates that 89.1% of Americans have had chickenpox by the time...

The National Vaccine Information Center estimates that 89.1% of Americans have had chickenpox by the time they reach adulthood.
(a) Calculate the probability that exactly 97 out of 100 randomly sampled American adults had chickenpox during childhood.
(b) What is the probability that exactly 3 out of a new sample of 100 American adults have not had chickenpox in their childhood?
(c) What is the probability that at least 1 out of 8 randomly sampled American adults have had chickenpox?
(d) What is the probability that at most 3 out of 8 randomly sampled American adults have not had chickenpox?

We now consider a random sample of 140 American adults.
(e) How many people in this sample would you expect to have had chickenpox in their childhood?
And with what standard deviation?
(f) What is the probability that 112 or fewer people in this sample have had chickenpox in their childhood?

Math   Statistics-And-Probability   
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