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9th Edition

David R. Anderson + 4 others

Publisher: South-Western College Pub

ISBN: 9780357045435

Chapter 4.4, Problem 30E

Textbook Problem

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Suppose that we have two events, *A* and *B*, with *P*(*A*) = .50, *P*(*B*) = .60, and *P*(*A* ∩ *B*) = .40.

- a. Find
*P*(*A*∣*B*). - b. Find
*P*(*B*∣*A*). - c. Are
*A*and*B*independent? Why or why not?

**a.**

To determine

Compute the value of

**Calculation:**

The probability values are

The formula for conditional probability is given by:

Here,

**b.**

To determine

Compute the value of

**c.**

To determine

Check whether the events *A* and *B* are independent or not.

Explain the reasons.

Essentials Of Statistics For Business & Economics

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