The Human Resources (HR) group at a large accounting fim interview prospective c

Question

The Human Resources (HR) group at a large accounting fim interview prospective candidates for new hires Aer oach interview t the firm rates the candidal on a 10-point scale, with the raing 10 denoting exceptionally good candidates an denoting those that the frm rates poor The HR group ated 6 candidates Define the everts A (6 out of the 12 candidates rate 8 or better) B-(3 out of the Choose the correct answer below on Monday and 6 candidates on Tuesday. The oulcomes of these 12 ratings form the sample space Determineif the following statement is true or false candidates on Monday rale 8 or bete), and C (3 out of the 6 candidates on Tuesday rate 8 or better), Independence implies that PI(A) O D. Fale, the events B and C are not independent

Explanation / Answer

Correct Answer: Option (D) False, the events B and C are not independent

since A = 6 out of the 12 candidates rate 8 or better P(A) = 6/12 = 0.5

B = 3 out of the 6 candidates on monday P(B) = 3/6 = 0.5

C = 3 out of the 6 candidates on Tuesday P(C) = 3/6 = 0.5

here P(A) not = P(B) P(C), therefore, B and C are not independent

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