Many people apply for jobs to serve as paramedics or firefighters, yet they cannot complete basic physical fitness standards. A recent study found that 77% of all candi- dates for paramedic and firefighter positions were overweight or obese (Obesity, March 19, 2009).

a. What is the expected value and the standard deviation of the sample proportion de- rived from a random sample of 100 candidates for paramedic or firefighter positions?

b. What is the expected value and the standard deviation of the sample proportion de- rived from a random sample of 200 candidates for paramedic or firefighter positions?

c. Comment on the value of the standard deviation as the sample size gets larger.