# Question

The following table lists the history of 940 orders for features in an entry-level computer product.

Extra memory

No Yes

Optional high- no 514 68

Speed processor yes 112 246

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 (A U B)

(b) P (A ∩ B)

(c) P (A’ U B)

(d) P (A’ ∩ B’)

(e) What is the probability that an order requests an optional high-speed processor given that the order requests extra memory?

(f) What is the probability that an order requests extra memory given that the order requests an optional high-speed processor?

Extra memory

No Yes

Optional high- no 514 68

Speed processor yes 112 246

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 (A U B)

(b) P (A ∩ B)

(c) P (A’ U B)

(d) P (A’ ∩ B’)

(e) What is the probability that an order requests an optional high-speed processor given that the order requests extra memory?

(f) What is the probability that an order requests extra memory given that the order requests an optional high-speed processor?

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