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Type of positions Gender Management 230 120 Skilled workers Male 165 Female 115 a. Suppose that at the annual holiday party, an employee will be drawn randomly to win a trip to Penang. What is the probability that the winner will be a female and in the management position? b. Given that a special bonus is awarded randomly to a skilled worker, what is the probability that it will go to a male? c. If 3 employees were randomly selected, what is the probability that the employees were females skilled workers? d. Test if there is any association between the type of position and gender at 1% significance level?

Type of positions Gender Management 230 120 Skilled workers Male 165 Female 115 a. Suppose that at the annual holiday party, an employee will be drawn randomly to win a trip to Penang. What is the probability that the winner will be a female and in the management position? b. Given that a special bonus is awarded randomly to a skilled worker, what is the probability that it will go to a male? c. If 3 employees were randomly selected, what is the probability that the employees were females skilled workers? d. Test if there is any association between the type of position and gender at 1% significance level?

A First Course in Probability (10th Edition)
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 3 A. Kelly is shopping for a new car. She can afford a deposit of RM 5000 and quarterly payments of RM 2000. Bank A has offered to finance a loan at 8% per year compounded quarterly for 3 years. What is the most expensive car (in RM) Kelly can afford to buy? B. A company is committed to providing equal opportunities to all its employees regardless of their gender. A workplace program has been established to remove barriers to women advancing within the company. To assess the effectiveness of this program, workforce in key positions was analyzed with the following results: Type of positions Gender Management 230 120 Skilled workers 165 115 Male Female a. Suppose that at the annual holiday party, an employee will be drawn randomly to win a trip to Penang. What is the probability that the winner will be a female and in the management position? b. Given that a special bonus is awarded randomly to a skilled worker, what is the probability that it will go to a male? c. If 3 employees were randomly selected, what is the probability that the employees were females skilled workers? d. Test if there is any association between the type of position and gender at 1% significance level?
Transcribed Image Text:Question 3 A. Kelly is shopping for a new car. She can afford a deposit of RM 5000 and quarterly payments of RM 2000. Bank A has offered to finance a loan at 8% per year compounded quarterly for 3 years. What is the most expensive car (in RM) Kelly can afford to buy? B. A company is committed to providing equal opportunities to all its employees regardless of their gender. A workplace program has been established to remove barriers to women advancing within the company. To assess the effectiveness of this program, workforce in key positions was analyzed with the following results: Type of positions Gender Management 230 120 Skilled workers 165 115 Male Female a. Suppose that at the annual holiday party, an employee will be drawn randomly to win a trip to Penang. What is the probability that the winner will be a female and in the management position? b. Given that a special bonus is awarded randomly to a skilled worker, what is the probability that it will go to a male? c. If 3 employees were randomly selected, what is the probability that the employees were females skilled workers? d. Test if there is any association between the type of position and gender at 1% significance level?
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