3. A modified deck of cards is created with two 2s, three 3s, four 4s, and...

 

Transcribed Image Text:

3. A modified deck of cards is created with two 2s, three 3s, four 4s, and five 5s. The random variable X is defined as the number of 3s drawn when 5 cards are picked without replacement, and the variable Y is defined as the number of 3s drawn when 5 cards are picked with replacement. a. Create probability distribution tables for X and Y. (7 marks) b. Find the expected value of X and Y. (6 marks) 3. A modified deck of cards is created with two 2s, three 3s, four 4s, and five 5s. The random variable X is defined as the number of 3s drawn when 5 cards are picked without replacement, and the variable Y is defined as the number of 3s drawn when 5 cards are picked with replacement. a. Create probability distribution tables for X and Y. (7 marks) b. Find the expected value of X and Y. (6 marks)