Suppose the probability that a male develops some form of cancer in his lifetime is 0.4573. Suppose the probability that a male 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, and that this probability is independent of the probability that a male will develop cancer in his lifetime.• C = a man develops cancer in his lifetime• F = a man has at least one false positivePart (a)Construct a tree diagram of the situation. P(C) = P(F | C) = P(F | C' ) If a test comes up positive, based upon numerical values, can you assume that man has cancer? Justify numerically and explain why or why not.-You cannot assume the man has cancer because there is not enough information given.-You cannot assume the man has cancer because there is a 51% chance that the test is false. -You cannot assume the man has cancer because both the probability of developing cancer in his lifetime and the probability of having at least one false positive are near 50%-You cannot assume the man has cancer because the chances of developing cancer in his lifetime are less than 50%.

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Answered: Suppose the probability that a male…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Suppose the probability that a male develops some form of cancer in his lifetime is 0.4573. Suppose the probability that a male 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, and that this probability is independent of the probability that a male will develop cancer in his lifetime.

• C = a man develops cancer in his lifetime
• F = a man has at least one false positive

Part (a)

Construct a tree diagram of the situation.

P(C) =

P(F | C) =

P(F | C' )

If a test comes up positive, based upon numerical values, can you assume that man has cancer? Justify numerically and explain why or why not.
-You cannot assume the man has cancer because there is not enough information given.

-You cannot assume the man has cancer because there is a 51% chance that the test is false.

-You cannot assume the man has cancer because both the probability of developing cancer in his lifetime and the probability of having at least one false positive are near 50%

-You cannot assume the man has cancer because the chances of developing cancer in his lifetime are less than 50%.