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ark edu/webapps/blackboard/execute/content/file emdeview&content.id; 5828449 1&course.jid; 157947.1 | Problem 5. Suppose that a foreman must select one worker from a pool of four available workers (numbered 1, 2, 3, and 4) for a particular job. He selects the worker by mixing the four names in a hat and randomly drawing one (i.e, each person is equally likely to be selected). Define the following events: A = the event that either worker or worker 2 is selected B = the event that either worker or worker 3 is selected C = the event that worker 1 is selected D = the event that worker 3 or worker 4 is selected Answer the following questions and explain why or why not. (a) (b) (c) Are events A and B independent? Are events A and C independent? Are events A and D independent?

Explanation / Answer

When two events are said to be independent of each other, when the probability that one event occurs in no way affects the probability of the other event occurring.

So by using above definition let us answer :

a) Events A and B are not independent.

b)Events A and C are not independent.

c) Yes event A and D are independent.

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