A large company based in a suburb of Chicago is evaluating the time their employees need to communte to and from work each day. They pass out a well-designed survey to 75 randomly selected employees, and note that the commuting time to and from work is approximately normally distributed, with a mean of 104 minutes, and a standard deviation of 43 minutes. The company is uneasy with that amount of travel time and decides to look at some numbers.

They believe that once travel time reaches 2 hours (120 minutes), they will start to lose workers. On what percentage of days can they expect to do so? That is, how many days will exceed 120 minutes?

Conversely, they feel that an ideal time is kept under 50 minutes. On what percentage of days can they expect this to happen?

What percentage of days will have commute times between 60 and 80 minutes?