Of customers ordering a certain type of personal computer, 20% order an upgraded graphics card, 30% order
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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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