5 Just prior to jury selection for O. J. Simpson's murder trial in 1995, a poll found that about 20% of the adult population believed Simpson was innocent (after much of the physical evidence in the case had been revealed to the public). Ignore the fact that this 20% is an estimate based on a subsample from the population; for illustration, take it as the true percentage of people who thought Simpson was innocent prior to jury selection. Assume that the 12 jurors were selected randomly and independently from the population (although this turned out not to be true). (i) Find the probability that the jury had at least one member who believed in Simpson's innocence prior to jury selection. [Hint: Define the Binomial(12,.20) random variable X to be the number of jurors believing in Simpson's innocence.] (ii) Find the probability that the jury had at least two members who believed in Simpson's innocence. [Hint: P(X > 2) = 1 – P(X < 1) and P(X < 1) = P(X = 0) + P(X = 1).]
5 Just prior to jury selection for O. J. Simpson's murder trial in 1995, a poll found that about 20% of the adult population believed Simpson was innocent (after much of the physical evidence in the case had been revealed to the public). Ignore the fact that this 20% is an estimate based on a subsample from the population; for illustration, take it as the true percentage of people who thought Simpson was innocent prior to jury selection. Assume that the 12 jurors were selected randomly and independently from the population (although this turned out not to be true). (i) Find the probability that the jury had at least one member who believed in Simpson's innocence prior to jury selection. [Hint: Define the Binomial(12,.20) random variable X to be the number of jurors believing in Simpson's innocence.] (ii) Find the probability that the jury had at least two members who believed in Simpson's innocence. [Hint: P(X > 2) = 1 – P(X < 1) and P(X < 1) = P(X = 0) + P(X = 1).]
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
![5 Just prior to jury selection for O. J. Simpson's murder trial in 1995, a poll found that about 20% of the
adult population believed Simpson was innocent (after much of the physical evidence in the case had
been revealed to the public). Ignore the fact that this 20% is an estimate based on a subsample from the
population; for illustration, take it as the true percentage of people who thought Simpson was innocent
prior to jury selection. Assume that the 12 jurors were selected randomly and independently from the
population (although this turned out not to be true).
(i) Find the probability that the jury had at least one member who believed in Simpson's innocence
prior to jury selection. [Hint: Define the Binomial(12,.20) random variable X to be the number of
jurors believing in Simpson's innocence.]
(ii) Find the probability that the jury had at least two members who believed in Simpson's innocence.
[Hint: P(X > 2) = 1 – P(X < 1) and P(X < 1) = P(X = 0) + P(X = 1).]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3a5a072-fe2f-4828-b96c-fcd10c85ae7f%2F8937ab4f-9a24-43de-81ae-4942c087bec0%2F3zq3q1q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5 Just prior to jury selection for O. J. Simpson's murder trial in 1995, a poll found that about 20% of the
adult population believed Simpson was innocent (after much of the physical evidence in the case had
been revealed to the public). Ignore the fact that this 20% is an estimate based on a subsample from the
population; for illustration, take it as the true percentage of people who thought Simpson was innocent
prior to jury selection. Assume that the 12 jurors were selected randomly and independently from the
population (although this turned out not to be true).
(i) Find the probability that the jury had at least one member who believed in Simpson's innocence
prior to jury selection. [Hint: Define the Binomial(12,.20) random variable X to be the number of
jurors believing in Simpson's innocence.]
(ii) Find the probability that the jury had at least two members who believed in Simpson's innocence.
[Hint: P(X > 2) = 1 – P(X < 1) and P(X < 1) = P(X = 0) + P(X = 1).]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON