In: Statistics and Probability
There is a box of 20 marbles. Of these marbles, 6 are red, 8 are green and 6 are blue. 6 marbles are randomly selected from the box without replacement. Let X be the number of marbles that are red or blue, and let Y be the number of marbles that are blue.
1. What is the probability the first and second marbles are red, the third and fourth are blue and the fifth and sixth are green?
2. What is the probability we obtain 2 red, 2 blue and 2 green?
3. Find E (X).
4. Find Var(Y).
5. Find P (X = Y )