A company would like to hire two applicants for a job out of the five applicants...

  

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A company would like to hire two applicants for a job out of the five applicants who applied for it (call them A1, A2, A3, A4 and As). Suppose that the five applicants vary in competence, A, being the best, A₂ being the second best, and so on for A3, A4 and As (who is the least competent). Since this is unknown to the company, they decide to choose the two applicants for the job at random. (b) i. Let A be the event that at least one of the two most competent applicants is selected. Write down the outcomes that are contained in A, and then give P(A). ii. In context, the complement event of A, A is the event that: (circle one) • Exactly one of the two most competent applicants is selected. No more than one of the two most competent applicants is selected. . The two most competent applicants are not selected. The two most competent applicants are selected. iii. Use the complement principle to find P(A). iv. Let B be the event that exactly one of the two least competent applicants is selected. Write down the outcomes that are contained in B, and then give P(B). A company would like to hire two applicants for a job out of the five applicants who applied for it (call them A1, A2, A3, A4 and As). Suppose that the five applicants vary in competence, A, being the best, A₂ being the second best, and so on for A3, A4 and As (who is the least competent). Since this is unknown to the company, they decide to choose the two applicants for the job at random. (b) i. Let A be the event that at least one of the two most competent applicants is selected. Write down the outcomes that are contained in A, and then give P(A). ii. In context, the complement event of A, A is the event that: (circle one) • Exactly one of the two most competent applicants is selected. No more than one of the two most competent applicants is selected. . The two most competent applicants are not selected. The two most competent applicants are selected. iii. Use the complement principle to find P(A). iv. Let B be the event that exactly one of the two least competent applicants is selected. Write down the outcomes that are contained in B, and then give P(B).

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5 Applicants applied for a job A1 A2 A3 A4 and A5 where A1 being best competent A2 bei... View the full answer