3-45. Sunflower seeds purchased from vendor A1 have an 85% germination rate.

Those purchased from vendor A2 have a 90% germination rate, and such seeds purchased from vendor A3 have a 75% germination rate. A garden center obtains 60% of its sunflower seeds from vendorA1, 10% from vendor A2, and30%from vendorA3 and mixes them together to form what it calls its Sunshine Blend. Find:

(a) The probability that a seed selected at random from the blend will germinate. Given that a seed has germinated, find:

(b) The probability that the seed was supplied by vendor A1

(c) By vendor A2

(d) By vendor A3