3. Suppose the mean weight of school children's book bags is 17.4 pounds, with standard deviation of 2.2 pounds. Find the probability that the mean weight of sample of 30 books bags will exceed 17 pounds.(5 points) 4. Miss Mathica Kumpleto (MMK), a SHS Math teacher in Mathalino National High School would like to find the mean and variance of the sampling distribution of the sample mean of the height of her students by forming a group consisting of 6 members. She also said that they need to determine the height (in meters) of each member of the group and to get a list of the average height of each group. She further instructed her students to submit their answer with the following data. a. List all possible samples of size 2 and their corresponding mean. (3 points) b. Construct the sampling distribution of the sample mean. (3points) c. Calculate the mean of the sampling distribution of the sample mean. Compare this to the mean of the population. (2points) d. Calculate the variance of the sampling distribution of the sample mean. Compare this to the variance of the population. (2points)