The Food and Drug Administration (FDA) produces a quarterly report called Total Diet Study. The FDA’s report covers more than 200 food items, each of which is analyzed for dangerous chemical compounds. A recent Total Diet Study reported that no pesticides at all were found on 65% of the domestically produced food samples. Consider a random sample of 80 food items analyzed for the presence of pesticides. Let X be the number of food items found without any trance of pesticide. Calculate the mean and standard deviation of X. Based on a sample of 80 food items, what is the probability that less than half without any traces of pesticide?