Suppose that it takes at least 9 votes from a 12-member jury to convict adefendant. Suppose also that the probability that a juror votes a guilty personinnocent is .2, whereas the probability that the juror votes an innocent personguilty is .1. If each juror acts independently and if 65 percent of the defendantsare guilty, find the probability that for a randomly selected case the jury rendersa correct decision? (Hint: Use the law of total probability)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 41E
icon
Related questions
icon
Concept explainers
Question

Suppose that it takes at least 9 votes from a 12-member jury to convict a
defendant. Suppose also that the probability that a juror votes a guilty person
innocent is .2, whereas the probability that the juror votes an innocent person
guilty is .1. If each juror acts independently and if 65 percent of the defendants
are guilty, find the probability that for a randomly selected case the jury renders
a correct decision? (Hint: Use the law of total probability)

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Knowledge Booster
Conditional Probability, Decision Trees, and Bayes' Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage