Ms. Lantz recently participated in the Rocket Run 5k. The distribution of finishing time for females is approximately normal with a mean of 57 minutes with a standard deviation of 8 minutes. According to the Houston Chronicle, a healthy female person should be able to run a 5K in less than 50 minutes.

Part B: Ms. Lantz wanted to use her 5K time to qualify for the Houston Marathon. In order to qualify you need to be in the fastest 20% of times. What finishing time would she need in order to qualify for the Houston Marathon?

Answer =___ minutes

**Round to the 4th decimal**