On average, commuters in the Los Angeles, California, area require 30.0 minutes to get to work. Assume a normal distribution with a standard deviation of 5.0 minutes and a randomly selected Los Angeles-area commuter named Jamal.
a. What is the probability that Jamal will require more than 45.0 minutes to get to work on any given day?
b. Jamal has just left home and must attend an important meeting with the CEO in just 25.0 minutes. If the CEO routinely fires employees who are tardy, what is the probability that Jamal will be going to work tomorrow?