Women have pulse rates that are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute.
a. Dr. Lopez sees exactly 25 female patients each day. Find the probability the 25 randomly selected women have a mean pulse rate between 70 bpm and 85 bpm.
b. Dr. Lopez sees exactly 25 female patients each day. Find the probability the 25 randomly selected women have a mean pulse rate between less than 70 bpm.