There are two brands of corn flakes, post and kellogs. each brand has the same size box. however, because of each brand’s filling procedure, they have different mean weights. the weights of a box of post corn flakes is approximately normal with μ = 64.1 oz and σ = .5 oz while the weight of a box of kellogs, which is also normally distributed, has μ = 63.9 oz and σ = .4 oz.

a box is selected from each brand and weighed. what is the probability that the post box will outweigh the kellogs box?