Question: Manufacturing and Product Development Shetland wool is considered some of the finest in the world because it is soft, durable, and easy to spin. The mean fleece weight from a typical sheep is 3.25 pounds with a standard deviation of 0.4 pound. Suppose a farmer has 100 sheep ready to be sheared.
a. Find the distribution for the total weight of fleece from the 100 sheep, T.
b. What is the probability that the total fleece weight is less than 323 pounds?
c. What is the probability that the total fleece weight is between 330 and 340 pounds?
d. Find a value t such that P(T ≥ t) = 0.15.