At a certain large pizza restaurant, the daily demand for cheese is approximately normally distributed with a mean of 50 kg and a variance of 36 kg2.

1. a)On a randomly selected day, what is the probability the restaurant needs more than 60 kg of cheese? (0.7 marks)
2. b)On a randomly selected day, what is the probability the restaurant needs less than 45 kg of cheese? (0.6 marks)
3. c)If the restaurant wants to be 99% sure that they have enough cheese on any given day, how much cheese should they have on hand each day? (0.7 marks)