9. (a) (4 points) If a softball league has eight teams, how many different end-of-the-season rankings are possible? Assume that there are no ties 9. (b) (4 points) A committee has three male and five female members. In how many ways can subcommittee of four be selected if three females are to serve on it? 9. (e) (5 points) In bow many ways can four hearts and two spades be drawn from a deck of 5 cards? 10. (a) (6 points) If a card is randomly drawn from a deck of 52 cards, find the probability th the card is a spade, given that it is a face card (a jack, queen or king). 10. (b) (8 points) Box 1 contains five red and three white balls. Box 2 contains three red an white balls. A box is chosen at random and then a ball is chosen at random from it. What is probability that the ball is white? 11. A jar contains two red and three green jellybeans. Two jellybeans are randomly drawn succession without replacement. Let X be the number of red jellybeans. (a) (6 points) Find distribution of X (probability function for each value of x) (b) (6 points) Find the meanu and the standard deviation for random variable X. 12. (6 points) A coin is biased so that P(head) 0.3 and P(tail)=0.7. Toss this coin six tin let X be the number heads, find P(X-4). 13. (5 points) Given the probability density function for a continuous randam vari f(x) = {28, If 0