Question

Let X equal the weight of the soap in a 6 lb. box, where the distribution...

Let X equal the weight of the soap in a 6 lb. box, where the 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 2 boxes weigh less than 6.0171 lb. each.

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