A bridge across a deep jorge has a capacity of 5184pound. If the weights of tourists have a mean of 160 pounds and astandard deviation of 38 pounds, find the probability that a groupof 32 not-overly-bright tourists who attempts to cross the gorgesimultaneously will plummet to a grisly death. (Hint: the groupsweight will exceed 5184 pounds if the mean weight in the group isover 162 pounds)