Suppose that weights of 1-year-old boys are normal with mean 26 pounds, standard deviation 3 pounds. Use a normal table or software to determine the following. (Round your answers to four decimal places.)
(a) Consider the weight of a boy whose z-score is
-1.82.
Find the proportion of 1-year-old boys who weigh less than this amount.
(b) Consider a 1-year-old boy whose weight is 22 pounds. Find the proportion of 1-year-old boys who weigh less than this amount.
(c) What proportion of 1-year-old boys weigh more than 22 pounds?
(d) Consider a 1-year-old boy whose weight is 28 pounds. Find the proportion of 1-year-old boys who weigh less than this amount.