An athletic association wants to sponsor a footrace. The time it takes to run the course is normally distributed with a mean of 58.6 minutes, and a standard deviation of 3.9 minutes.

a) The association decides to have a tryout run, and eliminate the slowest 30% of the racers. What should the cutoff time be in the tryout run for elimination?

b) What is the value of the first quartile for this distribution?

I think this question involves using the Z scores table to solve.