2-189 The following table lists the history of940 orders for features in an entr

Question

2-189 The following table lists the history of940 orders for features in an entry-level computer product extra memor no 514 112 yes 60 254 optional high-o speed processor yes Let A be the event that an order requests the optional high- speed processor, and let B be the event that an order requests extra memory. Determine the following probabilities (a) P(AU 8) (b)Ran B) (e) What is the peobability that an order requests an optional high-speed processor given that the order requests extra memory? (o What is the probability that an order roquests extra mem- ory given that the order requests an optional high-speed processor?

Explanation / Answer

Total = 514 + 112 + 60 + 254 = 940

A) P(A U B) = (112+60+254)/940 = 0.453

B) P(A n B) = 254/940 = 0.270

C) P(A' U B) = (514+ 254 + 60)/254 = 0.881

D) P(A' n B') = 514/940 = 0.547

E) P(A | B) = P(A n B) /P(B) = (254/940)/((60+254)/940) = 254/314 = 0.809

F) P(B | A) = P(A n B) / P(A) = (254/940)/((112+254)/340) = 254/366 = 0.694

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