Conditional probability intersection and independence


Assignment:

In a study to determine frequency and dependency of color blindness relative to females and males 1000 people were chosen at random and the following results were recorded:

1486_Frequency.JPG

A. Convert the table to a probability table by dividing each entry by 1,000.

101_Probability table.JPG

B. What is the probability that a person is a woman, given that the person is color blind?

C. What is the probability that a person is color blind, given that the person is a male?

D. Are the events color blindness and male independent?

E. Are the events of color blindness and female independent?

Provide complete and step by step solution for the question and show calculations and use formulas.

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Basic Statistics: Conditional probability intersection and independence
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