The gypsy moth is the serious threat to oak and aspen trees. A state agriculture department places traps during the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.3, but some traps have numerous moths. The distribution of moth counts is discrete as well as strongly skewed, with standard deviation 0.7.
Determine the mean (±0.1) of the average number of moths xbar in 60 traps?
And the standard deviation? (±0.001)
Employ the central limit theorem to find the probability (±0.01) that the average number of moths in 60 traps is greater than 0.4: