A furnace cleaning company is scheduled to arrive at a residence sometime between the hours of 7:00 AM and 6:30 PM. However, the homeowner plans to go out to do some errands from 1:00 PM to 3:30 PM.

a) What is the probability that the furnace cleaners will arrive while the homeowner is out? [1 mark]

b) What is the probability that the furnace cleaners will arrive after the homeowner has returned from their errands? [1 mark]

c) When should the homeowner expect the furnace cleaners to arrive? [1 mark]