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1) One in four adults is currently on a diet. You randomly select eighty adults and ask them if they are currently on a diet. Find the probability that the number who says they are currently on a diet is exactly twenty-five.
2) During a certain week the mean price of gasoline in the New England region was $2.714 per gallon and the std. dev is $.045. A random sample of 32 gas stations is drawn from this population. What is the probability that the mean price for the sample was between $2.695 and $2.725 that week?
3) Forty-three percent of businesses in the United States require a doctor’s note when an employee takes sick time. You randomly select fifty businesses and ask each if it requires a doctor’s note when an employee takes sick time. Find the probability that the number who say they require a doctor’s note is exactly fifteen.
4) In a recent year, the ATC scores for the English portion of the test were normally distributed, with a mean of 20.6 and a standard deviation of 6.3. A high school student who took the English portion of the ACT is randomly selected. Find the probability that student’s ACT is between 18 and 25
5) Find the area under the standard normal curve between z= -2.165 and z= -1.35
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