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# Probability

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There is a 0.1081 probability that a best-of-seven contest will last four games, a 0.1171 probability that it will last five games, a 0.2466 probability that it will last six games, and a 0.5282 probability that it will last seven games. Verify that this is a probability distribution. Find its mean and standard deviation. Is it unusual for a team to "sweep" by winning in four games?

a. What is the mean of the probability distribution (Round to two decimal places as needed) ________.

b. What is the standard deviation of the probability distribution (Round to two decimal places as needed) _______

Is it unusual for a team to win in four games? Choose the correct response below.

(1) Yes, because the probability that a team wins in four games is less than or equal to 0.05
(2) No, because the probability that a team wins in four games is greater than 0.05
(3) No, because the probability that a team wins in four games in less than or equal to 0.05
(4) Yes, because the probability that a team wins in four games is greater than 0.05