A certain type of refrigerator comes in three sizes, each of which is available with or without an

icemaker. The accompanying table gives the relevant probabilities for a randomly selected

purchaser:

Size

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17.5 ft3 21 ft3 24.5 ft3

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Yes 0.12 0.17 0.24

Icemaker

No 0.18 0.13 0.16

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i) What is the probability that the purchaser selected a 21-ft^3 refrigerator? A refrigerator with an icemaker?

ii) Given that the purchaser select a model with an icemaker, what is the probability it was a 21 - ft ^3? How does this compare to the unconditional probability of selecting a 21 -ft^3 model?