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 0.6, but some traps have several moths. the distribution of moth counts is discrete and strongly skewed, with standard deviation 0.4. a. what is the mean (±0.1) of the average number of moths x¯¯¯ (x bar) in 30 traps? i got 18 by multiplying 30 times 0.6, i'm not confident 100% in this b. and the standard deviation? (±0.001) i got 0.073 by doing 0.4/ sqrt of confident c. use the central limit theorem to find the probability (±0.01) that the average number of moths in 30 traps is greater than 0.7: i got 1.37 by doing 0.7-0.6 / 0.073 (0.4/sqrt of 30) are these answers correct?