webwork / m366decker / 8spring18m366 /2 pring18m366: Problem 2 evious Problem Li

Question

webwork / m366decker / 8spring18m366 /2 pring18m366: Problem 2 evious Problem List Next point) A quiz consists of 10 multiple-choice questions, each with 6 possible answers. For someone who makes random guesses for all a nswers, find the of the minimum passing grade is 50%. P(pass) = Preview My Answers Submit Answers You have attempted this problem 5 times. Your overall recorded score is 0% You have unimited attempts remaining Emall instructor Page generaled at 93 0505 17pm ESt WeBWork 1996-2016 theme math4ww.versien 2 121p2121 The Welvwark Pj

Explanation / Answer

P(Pass) = P(6 right) + P(7 right) + P(8 right) + P(9 right) + P(10 right)

p= the probability of a success on a question = (1/5)
(1 - p )= the probability of a miss on a question = (4/5)

Using the binomial distribution,

P(X=r) = (nCr) * (p)^(r) * (1-p)^(n-r)

P(6 right) = (10C6) * (1/5)^6 * (4/5)^4 = .005505024

P(7 right) = (10C7) * (1/5)^7 * (4/5)^3 = .000786432

P(8 right) = (10C8) * (1/5)^8 * (4/5)^2 = .000073728

P(9 right) = (10C9) * (1/5)^9 * (4/5)^1 = .000004096

P(10 right) = (10C10) * (1/5)^10 * (4/5)^0 = .0000001024

Therefore,

P(pass) = 0.00550524 + 0.000786432 + 0.000073728 + 0.000004096 + 0.0000001024

P(pass) = 0.0063695984

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

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