Problem 1: You are taking a 10 question multiple choice...

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DAT 520 Problem Set 3 Cumulative and Conditional Probability Problem 1: You are taking a 10 question multiple choice test. If each question has four choices and you guess on each question, what is the probability of getting one question correct? [Hint: This is a binomial in the form of 10 choose 1 with p=.25.] Using the binomial equation with the following variables: n = 10, k = 1, p=.25 10 ! ( 10 1 ) ! 1 ! .25 1 ∗( 1 .25 ) ( 10 1 )
Problem 2: What is the probability of getting seven questions correct? [Hint: This is a binomial as Q1 with modified choose value.]
Problem 3: What are your chances of answering seven questions correctly if you can reliably eliminate one possible answer from each question? [Hint: This is a binomial as Q2 with a modified p value.]

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