Let X equal the weight of the soap in a 6pound box Assume X

Let X equal the weight of the soap in a \"6-pound\" box. Assume X ~ N(6:05; 0:0004)

(a) Find P(X < 6:0171)

(b) Suppose nine soap boxes are selected at random. Find the probability that at least two
boxes weigh less than 6.0171 each. Hint: Let Y be the number of boxes that weigh
less than 6.0171. What is the distribution of Y ?

Solution

(a) 0.05
(b) 0.9916
(c) 0.0122