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I need solve this question Question 5 The employees in a company can be categorized based on two random variables X and Y. Where, X

I need solve this question

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Question 5 The employees in a company can be categorized based on two random variables X and Y. Where, X represents the employee gender, while Y represents the employee income. Male (X=0) Female (X=1) Total Low income Y=0) 248 190 438 Average income (Y=1) 488 566 1054 High income Y=2) 150 124 274 Total 386 880 1766 (a) What is the probability that a randomly selected employee is female given she has low income? b) Find the conditional distribution of employee income given that the employee is male. c) Are gender and income independent? Justify your answer. (d) Indicate whether it is appropriate or not to compute the correlation between X and Y in this problem. Justify your answer. Question 6 The joint distribution of two continuous random variables X and Y is given as follow: f (x, y) = 0

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