Bean seeds from supplier A have an 85% germination rate and those from supplier B have a 75% germination rate. A seed-packaging company purchases 40% of its bean seeds from supplier A and 60% from supplier B and mixes these seeds together.
(a) Find the probability P(G) that a seed selected at random from the mixed seeds will germinate.
(b) Given that a seed germinates, find the probability that the seed was purchased from supplier A.