A manufacturer produces 17-pound lifting weights. The lowest actual weight is 0 pounds, and the highest is 23 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 36 weights is taken a) What is the distribution for the weights of one 17-pound lifting weight? What is the mean and standard deivation ? (Round to four decimal places) b) What is the distribution for the mean of the weights of 36 17-pound lifting weight? What is the mean and the standard deivation ? (Round to four decimal places) c) Find the probability that the mean actual weight for the 36 weights is less than 14.71 is (Round to four decimal places) d) Find the probability that the mean actual weight for the 36 weights is greater than 8.29 is (Round to four decimal places) e) Find the 90th percentile for the mean weight for the 36 weights [Round to two decimal places) f) Find the upper 21st percentile for the mean weight for the 36 weights [Round to two decimal places)