Homework Sourse1 Two people will be randomly selected from a group of 8 men
1. Two people will be randomly selected from a group of 8 men and 5 women. What is the probability that they will both be of the same gender?
2. It will cost you $2 to play a card game. If you pick the ace of hearts, you win $30. If you pick a different ace, you win $10. And other card wins nothing.
A. Create a probability model for the amount you will win.
B. What is the expected amount you will win?
C. What is the standard deviation.
D. What would be your expected winnings if you played twice?
E. What would be the expected standard deviation for 2 plays?
1. Two people will be randomly selected from a group of 8 men and 5 women. What is the probability that they will both be of the same gender?
1. Two people will be randomly selected from a group of 8 men and 5 women. What is the probability that they will both be of the same gender?
2. It will cost you $2 to play a card game. If you pick the ace of hearts, you win $30. If you pick a different ace, you win $10. And other card wins nothing.
A. Create a probability model for the amount you will win.
B. What is the expected amount you will win?
C. What is the standard deviation.
D. What would be your expected winnings if you played twice?
E. What would be the expected standard deviation for 2 plays?
Solution
1.
P( 2 people chosen are with same gender) = P( Both are Male) + P( Both are Female) = 8 C 2 / 13 C 2 + 5 C 2 / 13 C 2 = 0.3589 + 0.12820 = 0.4871
