Let X equal the weight of the soap in a “6-pound” box. Assume that the distribution of X is N(6.05, 0.0004).
(a) Find P(X < 6.0171).
(b) If nine boxes of soap are selected at random from the production line, find the probability that at most two boxes weigh less than 6.0171 pounds each.
(c) Let be the sample mean of the nine boxes. Find P( ≤ 6.035).