Solution Found!
Refer to Exercise 3.113. If the selection process were
Chapter 3, Problem 114E(choose chapter or problem)
Problem 114E
Refer to Exercise 3.113. If the selection process were really random, what would be the mean and variance of the number of African American members selected for the jury?
Reference
A jury of 6 persons was selected from a group of 20 potential jurors, of whom 8 were African American and 12 were white. The jury was supposedly randomly selected, but it contained only 1 African American member. Do you have any reason to doubt the randomness of the selection?
Questions & Answers
QUESTION:
Problem 114E
Refer to Exercise 3.113. If the selection process were really random, what would be the mean and variance of the number of African American members selected for the jury?
Reference
A jury of 6 persons was selected from a group of 20 potential jurors, of whom 8 were African American and 12 were white. The jury was supposedly randomly selected, but it contained only 1 African American member. Do you have any reason to doubt the randomness of the selection?
ANSWER:
Solution:
Step 1 of 3:
It is given that in a group of 20 potential jurors 8 were African American and 12 were white.
A jury of 6 persons is to be selected from the group of 20 jurors.
A jury selected at randomly had only 1 African American.
Now we need to find the mean and variance of the number of African American selected for the jury.