5. Baker Yeast bakes cookies with an average weight of 30 g and a weight variance of (2.3 g)^2 = 5.29g^2. He packs them in either small (20 cookies) or large (30 cookies) packages. a) Determine the distribution of the sum () of the weight of the cookies in a large package. What is the probability that > 915 g? b) Determine the probability that three small packages weigh at least 25 g more than two large packages. c) "Net weight 900 g" is written on the larger biscuit package. According to the rules of the Consumer Agency, such a phrase requires that 90% of the packaging exceeds this limit. How much of baker Hiiva's cookie packages meet this criterion? d) What should be the average weight of the cookie in order to fulfill the criterion? (Assuming, however, that the weight variation remains unchanged)