32. A person takes a multiple-choice exam in which each question has four possib

Question

32. A person takes a multiple-choice exam in which each question has four possible answers. Suppose that the person has no idea about the answers to three of the questions and simply chooses randomly for each one. a. What is the probability that the person will answer all three questions correctly? b. What is the probability that the person will answer exactly two questions correctly? c. What is the probability that the person will answer exactly one question correctly? d. What is the probability that the person will answer no questions correctly? e. Suppose that the person gets one point of credit for each correct answer and that 1/3 point is deducted for each incorrect answer. What is the expected value of the person

Explanation / Answer

a) (1/4)^3 = 1/64 b) 3C2* (1/4)^2 * (3/4) = 9/64 c) 3C1 * (1/4)*(3/4)^2 = 27/64 d) (3/4)^3 =27/64 e) expected marks=3*((1*1/4)+(1/3*3/4))=3/2..

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

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