Andrea and ashley are middle-distance runners for their school’s track team. andrea’s times in the 400-meter race are approximately normally distributed with a mean of 62 seconds and a standard deviation of 0.8 seconds. ashley’s times are approximately normally distributed with a mean of 62.8 seconds and a standard deviation of 1 second.

a) the school record for the 400-meter is 60.0 seconds. what is the probability that andrea breaks the record in her next race?
b) assuming that andrea and ashley’s times in any race are independent, what is the probability that ashley beats andrea in their next race?