If the production process is working properly, every large bag of peanut M&Ms will contain 80 peanut M&Ms. The population mean of the weights of each peanut M&M is 0.5 ounces and the population standard deviation of the weights of peanut M&Ms is 0.05 ounces. a) Assuming that the production process was working properly, determine the probability that the weight of a bag of peanut M&Ms exceeds 39.5 ounces? b) Because of a problem in the production process, the number of peanut M&Ms in a bag was unknown for a one month period. What was known was that the probability that the weight of a bag of peanut M&Ms exceeded 48.75 ounces was 0.9938. Use this fact to determine the number of peanut M&Ms in a bag produced in that month. (Hint: The solution to a quadratic equation of the form an2+bn+c=0 is [-b :I: (b24ac)0-5]/2a .)