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. Female (X=1) 190 566 124 880 Low income (Y=0) Average income (Y=1) High income (Y=2) Total Male (X=0) 248 488 150 886 Total 438 1054 274 1766 (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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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.
Low income (Y=0)
Average income (Y=1)
High income (Y=2)
Total
Male (X=0) Female (X=1)
248
488
150
886
190
566
124
880
Total
438
1054
274
1766
(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.
Transcribed Image Text: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. Low income (Y=0) Average income (Y=1) High income (Y=2) Total Male (X=0) Female (X=1) 248 488 150 886 190 566 124 880 Total 438 1054 274 1766 (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.
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