Question 3 (8 points) A company analyzed demand data for the past two years and found that daily demands for a company's production are independent and identically distributed with mean 20 and standard deviation 5. Based on this data analysis, answer the following questions. a. (4 pts) What is the probability distribution of the total demand for next 30 days? Specify the mean and the standard deviation of the total demand. b. (4 pts) Suppose that the company currently has 650 units in stock, and it will not be receiving anymore shipments from its supplier for at least 30 days. What is the probability that stock will run out during this 30-days period