Let X equal the weight of the soap in a 6-pound box. Assume that the probability distribution of X is N(6:05; 0:0004).
(a) Find P(X < 6:0171).
(b) If 9 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.

Which of the following transformations will make coincide with ? a. counter-clockwise rotation 90º about a, followed by a translation 5 units to the right b. translation 5 units to the right, followed by a reflection across the y-axis c. translation 5 units to the right, followed by a reflection across the x-axis d. translation 1 unit up and 5 units to the right, followed by a reflection across the x-axis