Suppose that the probability that a particular football team wins a certain game is p, and that

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Suppose that the probability that a particular football team wins a certain game is p, and that this probability remains constant from game to game.

(a) If the outcomes of the games played by the team are independent of each other, for what value of p would the team have at least an even chance of winning all ten games on its schedule?

(b) Suppose that p is .70. What is the probability that the team loses no more than two of its ten games?

(c) If p is .70, what is the probability that the second loss occurs in the 8th game?

(d) Suppose that p is .70 for home games and .50 for away games. The team plays five games at home and five games away from home. Now wrhat is the probability that the team will lose exactly two games of the ten? What is the expected number of wins?

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