Four electronic ovens that were dropped during shipment are inspected and classified as containing either a major,

Question:

Four electronic ovens that were dropped during shipment are inspected and classified as containing either a major, a minor, or no defect. In the past, 60% of dropped ovens had a major defect, 30% had a minor defect, and 10% had no defect. Assume that the defects on the four ovens occur independently.
(a) Is the probability of the count of ovens in each category multinomial? Why or why not?
(b) What is the probability that, of the four dropped ovens, two have a major defect and two have a minor defect?
(c) What is the probability that no oven has a defect?
Distribution
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