DAT 520 Problem Set 3.pdf - DAT 520 Problem Set 3...

DAT 520 Problem Set 3
Cumulative and Conditional Probability
Homework Problems (5 Problems)
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.]
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.]