A) Let X equal the medium outcome when a eight sided die is rolled five times.

a) Find the p.m.f. of X.

b) Find the mean and variance of X.

B) An urn contains 4 red chips, 5 green chips, and 3 white

chips. A chip is drawn sequentially at random with replacement. Let X be

the number of draws until at least one red chip, one green chip, and one

white chip are drawn. Find the p.m.f. of X.

C) An urn contains 4 red chips and 5 white chips. Chips are selected at

random one a time with replacement. Player1 will win the game if 3 red

chips are selected consecutively before 4 white chips are selected

consecutively. Player2 will win the game if 4 white chips are selected

consecutively before 3 red chips are selected consecutively. Find the

probability that Player1 will win the game.

Subject | Mathematics |

Due By (Pacific Time) | 11/17/2013 12:00 am |

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