QUESTION 37 Questions 3? - 35 concern the lollowing idea: Bob's factory puts cereal in boxes. For a certain type of cereal let Xi = the amount of cereal in the ilh box [in grams) and assume Xi - N(505,52} ie. the mean is 5009 and the standard deviation is 59. If Bob grabs 9 boxes at random, what is the probability that the average weight is less than 500g? (correct to 4 decimal places). QUESTION 38 Questions 3? - 35 concern the lollowing idea: Bob's factory puts cereal in boxes. For a certain type of cereal let Xi = the amount of cereal in the ilh box [in grams) and assume Xi - N(505,52} ie. the mean is 5009 and the standard deviation is 59. Which of the following would increase the previous probability of the sample mean being less than 500g? [When considering each option. assume that only the part mentioned in that option changes and everything else remains unchanged) O a. If the sample size was so large that the central limit theorem applied. 0 b. If the standard deviation was smaller 0 c. If the sample size was smaller. 0 d. If the sample size was larger