The gypsy moth is a serious threat to oak and aspen trees. Astate agriculture department places traps throughout the state todetect the moths. When traps are checked periodically, the meannumber of moths trapped is only 0.5, but some traps have severalmoths. The distribution of moth counts is discrete and stronglyskewed, with standard deviation 0.7.
(a) What are the mean and standard deviation of the averagenumber of moths x⎯⎯⎯x¯ in 65 traps?
(b) Use the central limit theorem to find the probability that theaverage number of moths in 65 traps is greater than 0.4.
