Consider the following two random experiment scenarios and answer the questions that follow:

Scenario 1

A basket contains 3 red and 4 green balls. A random experiment is performed such that a ball is randomly drawn from the basket, replaced back in the basket and then again a ball is randomly drawn from the basket. Let X is a random variable containing the count of red colored balls at the end of two trials.

Scenario 2

A basket contains 3 red and 4 green balls. A random experiment is performed such that a ball is randomly drawn from the basket, not replaced back in the basket and then again a ball is randomly drawn from the basket. Let X is a random variable containing the count of green colored balls at the end of two trials.

Now answer the following questions.

a)Compare the two scenarios by showing probability tree diagrams of the two.

b)Examine and comment on the shape of the distribution for the two scenarios.