At a certain state court the jury will convict a defendant if at least 8 out of 12 jurors support a “guilty” verdict. The jurors determined their verdict independently from each other. The probability that each juror will get the “right” decision is 0.8 (which means to convict when the defendant commit the crime and to acquit when he didn’t).a) Find the probability of convicting an innocent person.b) Find the probability of acquits a guilty person.c) Assume that 25% of the defendants in the state are innocent. In a certain year 200 people put on trial. What is the expected value and variance of the number of cases in which juries got the right decision?

Answered: Image /qna-images/answer/bef52175-b5f3-497a-9bf2-6d95121c4cf5.jpg

At a certain state court the jury will convict a defendant if at least 8 out of 12 jurors support a “guilty” verdict. The jurors determined their verdict independently from each other. The probability that each juror will get the “right” decision is 0.8 (which means to convict when the defendant commit the crime and to acquit when he didn’t)

At a certain state court the jury will convict a defendant if at least 8 out of 12 jurors support a “guilty” verdict. The jurors determined their verdict independently from each other. The probability that each juror will get the “right” decision is 0.8 (which means to convict when the defendant commit the crime and to acquit when he didn’t)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

See similar textbooks