A cat owner is decorating a tree for the holidays. Suppose that when decorating a holiday tree, there is a 1/5 chance of putting an ornament low on the tree. If the ornament is low on the tree, the probability the cats will knock the ornament off the tree is 4/5. If the ornament is not low on the tree, the probability the cats do not knock the ornament off the tree is 7/8. Let L be the event the ornament is low on the tree, and K be the event the cats knock the ornament off the tree. (a). Find the probability that the cats do not knock an ornament off the tree. (b). If the cats did knock an ornament off the tree, find the probability it was not low on the tree. (c). Find the probability that an ornament was low on the tree, and the cats did not knock it off. (d). Out of 50 ornaments, estimate the average number we expect to be knocked off the tree, and the standard deviation. (Round your answer to three decimal places, x.xxx, if needed)