Please explain The gypsy moth is a serious threat to oak an

Please explain :)

The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.5 , but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.5 .

What is the mean (±0.1) of the average number of moths x¯ in 60 traps? __________?
And the standard deviation? (±0.001) ___________?

Use the central limit theorem to find the probability (±0.01) that the average number of moths in 60 traps is greater than 0.8 : ___________?

Solution

a)
What is the mean (±0.1) of the average number of moths xbar in 60 traps?

mean=0.5

b)
standard deviation = s/n

=1/sqrt(60)

=0.1290