Freddy is taking Basic Stats class. The class starts at 6 pm and he needs to get there on time to get a punctuality bonus point. Freddy leaves from home and at that time of day i takes him an average of 15 min to get to the classroom. However, due to variability in traffic and parking conditions, the standard deviation of his srips is 3 mins. Suppose the population of his time to reach the classroom has a normal distribution of with a mean of 15 min and a standard deviation of 3 min.
a. what time should Freddy leave home for class so that he gets the bonus point 99% of the time
b. If he leaves at 5:40 pm. what percentage of the time would he get the bonus point.