Let X equal the weight of the soap in a 6-pound box. Assume that the distribution of

Question:

Let X equal the weight of the soap in a “6-pound” box. Assume that the 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).
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...