The nextthreequestions (8to10) refer to the following:

We have a small deck of ten cards. Five of the cards are red, three are blue and two are green. We randomly select four cards from the deckwith replacement. That is, after we select a card and record the colour, we replace the card in the deck and thoroughly shuffle it before we select another card.

8. LetXbe the number of blue cards that are selected. The distribution ofXis:

(A) binomial with parametersn= 4 andp= 0.1. (B) binomial with parametersn= 10 andp= 0.3. (C) binomial with parametersn= 10 andp= 0.4. (D) binomial with parametersn= 4 andp= 0.3. (E) not binomial.

9. LetAbe the event that the first selected card is the only red card in our four selections. Which of the following events is mutually exclusive of the eventA?

(A) second card selected is blue

(B) no green cards are selected

(C) third selected card is the only green card

(D) same number of red and blue cards are selected (E) same number of blue and green cards are selected