10. Let X: be a set of 15 independent uniformlO,1) rv's, set X = 21131 Xi. Find B_(X

10. Let Xi be a set of 15 independent uniform(O,1) rv's set X = E}51Xi. Find 9). 11. You are babysitting for two children, Eileen and Tom. They have a bucket of 40 crayons, 30 of which are unbroken, and the other 10 are broken. They each choose a crayon, without replacement. Let X = 1 if Eileen gets an unbroken crayon, and X = O otherwise. Similarly, let Y = 1 if Tom gets an unbroken crayon, and Y = O otherwise.e a) Find the covariance of X and Y. b) Find the correlation of X and Y .e 12. A talented soccer player is expected to score 25 goals in a given soccer season. a) Find an upper bound on the probability that he scores 30 goals or more during the season.e b) If he has a standard deviation of 6.5 goals during the season, give a bound on the probability that he scores between 12 and 38 goals during the season.