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STAT 420 Instructor: Wen Zhou Dec 14th, 2017 3. (10pts) The website \"Football-S

ID: 3324324 • Letter: S

Question

STAT 420 Instructor: Wen Zhou Dec 14th, 2017 3. (10pts) The website "Football-Study" use their own model to study the footbal vents. As of Sunday, they reports that: 1) the chance that the football team the Denver Broncos will be the champion of their division is 53%; 2) the probability that the Denver Broncos wins in the Super Bowl (the football championship event) is 9%; 3) the probability that the champion from the division to which the Broncos belongs will also win in the Super Bowl is 17%. Assume that in order to win in the Super Bowl, the Bro division must first become the division champion. ncos or any other teams in their (a) Given that the Denver Broncos is the division champion, what is the chance that they (b) What is the probability that a team from the division to which the Broncos belongs will also win in the Super Bowl given that the Broncos is not the division champion? will win in the Super Bowl?

Explanation / Answer

A) It is given that team Denver Bronocos is division champion and as per the 3rd part of question if a team is a division champion then the probability that it will win Super bowl is 0.17 so the answer of first question is 0.17.

B) As it is given that in order to win Super-bowl, a team must first become the division champion and if a team is division champion, the probability that it will win Super-bowl is 0.17 that is given in 3rd part of the question so the answer of 2nd question is 0.17.