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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
15.    A club basketball team will play a 60-game season. Thirty-two of these games are against class A teams and 28 are against class B teams. The outcomes of   all the games are independent. The team will win each game against a class      A opponent with probability .5, and it will win each game against a class B opponent with probability .7. Let X denote its total number of victories in the season.
(a)Â Â Â Â Is X a binomial random variable?
(b)    Let XA and XB denote, respectively, the number of victories against class  A
and class B teams. What are the distributions of XA and XB ?
(c)Â Â Â Â Â What is the relationship between XA, XB , and X ?
(d)Â Â Â Â Approximate the probability that the team wins 40 or more games.
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