Show all work. Suppose that 52% of residents of Union County, NC have brown eyes. a) if you were to select a simple random sample of 8 people from this population, and you wanted to find the probability that fewer than two of the 8 would be brown-eyed, why would it not be appropriate to use a normal (z) approximation? Explain b. Use the binomial probability formula to calculate the probability that if you were to select a simple random sample of 8 people from this population, fewer than two of them would have brown eyes. c. Use the normal (z) approximation of the binomial distribution to find the probability that if you were to select 80 people at random from this population, at least 50 of those people would have brown eyes.
Show all work.
Suppose that 52% of residents of Union County, NC have brown eyes.
a) if you were to select a simple random sample of 8 people from this population, and you wanted to find the
b. Use the binomial probability formula to calculate the probability that if you were to select a simple random sample of 8 people from this population, fewer than two of them would have brown eyes.
c. Use the normal (z) approximation of the binomial distribution to find the probability that if you were to select 80 people at random from this population, at least 50 of those people would have brown eyes.
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