3. a. b. A local theatre knows that the average spending from a movie patron is $12.50 with a Standard deviation of $2.50. The distribution of spending is normal. What is the probability a randomly selected patron will spend more than $16.75? What is the probability a randomly selected patron will spend between $8.75 and $11.25. The company is thinking of offering a promotion and giving a free storm trooper Tshirt to the 10% of customers who spend the most. What is the minimum amount of spending required to receive a storm trooper T-shirt? The company is planning a price increase. At the new price they would like 90% of customers to spend at least $10.00. What new average amount of spending would achieve this if we assume that standard deviation remains the same. {4 marks)