Bottle caps are manufactured so that their inside diameters have a distribution that is approximately N(36mm, 1.08mm). The distribution of the outside diameters of bottles is approximately N(35mm, 1.2mm). If a bottle cap and a bottle are selected at random, what is the probability the cap will fit on the bottle? Hint: To fit, the inside diameter of the cap has to be greater than the outside dimension of the bottle. Inside - Outside > 0

Round final answer to nearest TWO decimal places.