Question: Of customers ordering a certain type of personal computer, 20% order an upgraded graphics card, 30% order extra memory, 15% order both the upgraded graphics

Of customers ordering a certain type of personal computer, 20% order an upgraded graphics card, 30% order extra memory, 15% order both the upgraded graphics card and extra memory, and 35% order neither. Fifteen orders are selected at random. Let X₁, X₂, X₃, X₄ denote the respective numbers of orders in the four given categories.

a. Find P(X₁ = 3, X₂ = 4, X₃ = 2, and X₄= 6).

b. Find P(X₁ = 3).

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