A painter has learned that the time it takes her to paint a random room in a house is normally distributed with a mean of 4 hours and a standard deviation of 45 minutes. id she is just starting work on a random room and has to leave in five hours, find
a. The probability she can have lunch before she has to leave if she needs 30 minutes for lunch.
b. The probability she does not finish before she leaves.
c. The probability she works for more than 3 hours (don ,t forget she will stop working to leave on time).