An urn contains 5 green and 2 red balls. One ball is drawn at random and its colour is recorded. This selected ball is then replaced in the urn and 3 more balls of the same colour are added to the urn. Next, another ball is drawn from the urn and its colour is recorded.
A) Find a suitable sample space for that random experiment and assign probabilities to sample points.
B) Find the probability distribution table of the random variable X representing the number of red balls among the two selected ones. Draw the bar chart of X.
C) Draw the cumulative distribution function F(x).