Page 2 of 2 3. Assume that the sales of Teri's Specialty Cakes has historically followed a normal distribution, with an average of 250 cakes per month, and a standard deviation of 15 cakes. a. What is the probability that the sales for cakes will be no more than 285 over the next month? b. What is the probability that the sales for the cakes will be no more than 230 cakes over the next month? What is the probability that the sales for the cakes will be between 245 and 265 over the next month? d. What number of cake demand can Teri reasonably assume with a confidence level of 95%? For a, b, c, and d, please write out your work for at least one of these problems. For all problems, explain your answers and sketch a plot (similar to the handouts and text). C