Detecting gypsy moths. The gypsy moth is a serious threat to oak and aspentrees. A state

Chapter 0, Problem 11.11

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Detecting gypsy moths. The gypsy moth is a serious threat to oak and aspentrees. A state agriculture department places traps throughout the state to detectthe moths. When traps are checked periodically, the mean number of mothstrapped is only 0.5, but some traps have several moths. The distribution of mothcounts is discrete and strongly skewed, with standard deviation 0.7.(a) What are the mean and standard deviation of the average number of moths xin 50 traps?(b) Use the central limit theorem to find the probability that the average numberof moths in 50 traps is greater than 0.6.

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