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Chapter 3: Q.58 (page 218)

The probability that a man develops some form of cancer in his lifetime is 0.4567. The probability that a man has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is 0.51 Let: C = a man develops cancer in his lifetime; P = man has at least one false positive. Construct a tree diagram of the situation.

Short Answer

Expert verified

The Venn diagram of the situation is as follow:

Step by step solution

01

Content Introduction

Two events are:

C = a man develops cancer in his lifetime;

P = man has at least one false positive.

It is given that

P(C)=0.4567that means probability of developing cancer and

probability of not developing cancer is

P(C')=1-0.4567P(C')=0.5433

02

Content Explanation

The Venn diagram so formed of this situation is:

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