Question: For Problems 22-24, please refer to the following information.

In an annual local competitive running event, records indicate that the average time taken by participants is 27.5 minutes with a standard deviation of 6.1 minutes. The times appear to be normally distributed.

(a) What is the probability that an individual completes the course in less than 15 minutes?

(b) What is the probability that an individual takes between 20 and 30 minutes to complete the course?

(c) The slowest 3% of the runners take more than what amount of time to complete the course?