The average age of doctors in certain hospital is 43.0 years old. Assume the distribution of ages is normal and has standard deviation of 8.0 years. If 25 doctors are selected at random for committee, determine the probability that the average age of those 25 doctors is less than 43.8 years. Suppose that the variable is normally distributed.
a. 19.1%
b. 30.9%
c. 53.2%
c. 69.1%