Problem 3: Three machines are minting Golden Splonders in the
following proportions: Machine No. 1 mints 40% of the coins,
Machine No. 2 mints 35% of the coins, and Machine No. 3 mints 25%
of the coins. These machine are supposed to mint coins with exactly
1 oz. of gold but sometimes produce heavy coins (too much gold) or
light coins (not enough gold). The following table shows the
probabilities of each of these events occurring for each of the
machines: Machine Heavy Perfect Light
1 0.10 0.50 0.40
2 0.20 0.50 0.30
3 0.30 0.50 0.20
Part 3a: What percentage of the coins produced are too
heavy?
Part 3b: What is the probability that a non-perfect coin was
produced on Machine No. 2?
