The Agency for Healthcare Research and Quality reported that 53% of people who had coronary bypass surgery in 2008 were over the age of 65. Suppose 15 coronary bypass surgery patients from the year...

The Agency for Healthcare Research and Quality reported that 53% of people who had coronary bypass surgery in 2008 were over the age of 65. Suppose 15 coronary bypass surgery patients from the year 2008 are chosen. What is the probability that: (Express answers to 4 decimal places)

a) exactly 8 of the patients were over the age of 65 when they had their surgery?

b) fewer than 10 of the patients were over the age of 65 when they had their surgery?