Please show all work (1 point) You need at least nine decimal places on this pro

Question

Please show all work

(1 point) You need at least nine decimal places on this problerm. You may want to use fractions instead. There are 1 candidates for a position. The candidates are interviewed independently by each member of a committee that has 3 people on it. A candidate will be hired if she is chosen by at least 2 members of the committee. In reality, the committee members cannot really distinguish among the candidates and just choose at random with no biases What is the probability that a candidate will be selected with a unanimous vote (all cornmiittee members choose the same person? 1/18 What is the probability that a candidate will be selected with only one dissenting vote (all but one committee members choose the same person)? 36/64 What is the probability that a candidate will be selected?

Explanation / Answer

There are 4 candidates

and 3 members in committe

the probability that 1 member of committee selects a candidate be 0.25

So

a) P(committee selects a person unanimously) = 0.253 = 1/64

b) P(2 members selects a candidate) = 0.253*.75= 3/64

c) P(a candidate is choosen) = Sum of above two parts = 4/64 = 1/16

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.