Three percent of British Columbians (about 130,000 people) are infected with hepatitis C. Although there is no vaccination against hepatitis C, it can be cured with a daily combination pill that cures 95% of patients.

(a) (6 marks) In a survey of 2,500 randomly selected British Columbians, what is the expected number that have hepatitis C? What is the probability that the proportion in the sample with hepatitis C is less than 2%?

(b) (2 marks) Suppose the average age of people on the survey is 45.2 years and the standard deviation is 12.5 years. Calculate the standard error of the average age. (c) (4 marks) Suppose 80 people in your sample have hepatitis

C. What is the probability that they can all be cured using the daily combination pill?