Suppose that 5% of men and 0.25% of women are color-blind from a population that is 50% men and 50% women. (a) A person is chosen at random, and that person is color-blind. What is the probability that the person is male? (b) A person is chosen at random, and that person is not color-blind. What is the probability that the person is male? (c) Two people are chosen at random, and they are both color-blind. What is the probability they are the same gender?
Suppose that 5% of men and 0.25% of women are color-blind from a population that is 50% men and 50% women. (a) A person is chosen at random, and that person is color-blind. What is the probability that the person is male? (b) A person is chosen at random, and that person is not color-blind. What is the probability that the person is male? (c) Two people are chosen at random, and they are both color-blind. What is the probability they are the same gender?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
Suppose that 5% of men and 0.25% of women are color-blind from a population that is 50% men and 50% women.
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(a) A person is chosen at random, and that person is color-blind. What is the
probability that the person is male? -
(b) A person is chosen at random, and that person is not color-blind. What is the probability that the person is male?
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(c) Two people are chosen at random, and they are both color-blind. What is the probability they are the same gender?
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Follow-up Question
For 3c why is my approach incorrect?
1 - [ P(male | colorblind) * P(female | colorblind) ]
1 - [P(E1|A) * P(E2|A)] = 1 - [0.9524 * (1-0.9524)] = 0.9547
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