Suppose that the weights of cinder blocks at a local construction yard follow a normal distribution with mean of 20 kg and a variance of 0.25 kg2.
(a) What is the probability that a cinder block weighs at most 20.6 kg?
(b) What is the probability that a cinder block weighs more than 19.8 kg?
(c) What is the probability that a cinder block weighs between 19.9 and 20.2 kg?
(d) Find the weight, wU, that will be exceeded by 5% of cinder blocks.
(e) Find the weight, wL, that will be exceeded by 99% of cinder blocks.