One timber company claims that the amount of usable lumber inthe trees being harvested in ClearCut is approximately normallydistributed, with a mean of 256 cubic feet per tree and a standarddeviation of 42 cubic feet.
a) What is the probability that the amount of usable lumber in arandomly selected tree is less than 250 cubic feet?
b) If a decision is made not to harvest the smallest 20% of thetrees, they will be harvested when they are bigger. What is thesmallest size of tree allowed to be cut?
c) If 49 trees are randomly selected from ClearCut, what is theprobability that the average amount of usable lumber in the 49selected trees is less than 250 cubic feet?
