In: Statistics and Probability
An ASU student spends (in normal times) an average of 1.2 hours to get to campus with a standard deviation of 0.2 hours.
(a) (6 pts) Find the probability the average daily commute time for a period of 36 working days is between 1:15 in 1.25 hours.
(b) (6 pts) Find the probability the total commute time for the 36 days is less than 40 hours.
(c) (5 pts) What assumptions are necessary for the answers in parts (a) and (b) to be valid approximations.