The Chief Information Officer of the local university commutes daily from home to her office.Assume that the time for a one-way trip is normally distributed with mean 24 minutes and standard deviation of 3.8 minutes.

a.If the office always opens at 8:00 AM and she always leaves her house at 7:30 A.M. daily, what is the probability that she is she late for work on any given day?In the solutions you upload later, compute the associated-score of the standard normal distribution.

b.How long does her commute last for the slowest 15% of her trips? In the solutions you upload later, compute the associated-score of the standard normal distribution for this situation.

c.Sketch a graph of the standard normal pdf. Shade the area corresponding to the situation in (b), and clearly label the-score