Quinn returned home one summer's day to find it sweat-inducingly hot! he turned the air conditioner on and fell asleep. the room's temperature decreased by 0.5 ∘ celsius each minute, and quinn woke up 60 minutes later when it was 10 ∘ celsius.

The weekly amount spent by a company for travel has an approximately normal distribution with mean = $550 and standard deviation = $40. a) what is the probability that the actual weekly expense will exceed $570 for more than 20 weeks during the next year? (note: one year = 52 weeks) b) what is the probability that actual weekly expenses exceed $580 for 10 or more, but 16 or fewer weeks during the next year?