Dilbert forgot to study for the multiple-choice exam.

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Dilbert forgot to study for the multiple-choice exam. Each question has four choices and there are 50 questions. Dilbert, in his infinite wisdom, decides to randomly guess on each problem. Find the probability for each:

a) If Dilbert gets 30 or more right, he will be named the company CEO.

b) If Dilbert gets 20 to 29 right, he will be promoted and get a 10% raise.

c) If Dilbert gets 10 to 19 right, he will get to keep his menial job and pay.

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d) If Dilbert gets less than 10 right, he will be kicked out of cubicle central and unemployed

1 Answer

  • x~bin(50,0.25)

    P(x) = 50Cx *0.25^x *0.75^(50-x)

    a. P(30 <= x <= 50) = 1.642286e-7

    b. P(20 <= x <= 29) = 0.01391744

    c. P(10 <= x <= 19) = 0.8223985

    d. P(0 <= x<= 9) = 0.1636839


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