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B. The number of friends in the league, 12, represents a sample. O The median wi

ID: 3333184 • Letter: B

Question

B. The number of friends in the league, 12, represents a sample. O The median winning score, 18, is a value that has sampling error.cifksane ow D. The standard deviation for the selected games, 5, should be called a parameter Shhyh and ne dit to Chance Question 12. The department of football is composed of100 Faculty members who all participated in a Fantasy football league. In the league, members compete weekly in imaginary games between football teams made up of professional football players. Some of the Faculty members have never played fantasy football before ('rookies'), while some have ('veterans'). As commissioner of the league, Prof. Waugh recorded the number of wins each member's team scored. The data are summarized in the table below Status Rookie Veteran Games | More than 75% 10 10 32 48 2 won 75% or less what is the probability that a member who won 75% or less of their weekly games was a rookie? A. 0.10 C. 0.20 D. 0.50 oMess ana PCA 20 loo

Explanation / Answer

Total frequency here is given as: 10 + 32 + 10 + 48 = 100

Now given that a member won 75% or less of their weekly games, probability that member was a rookie is computed as: ( Using bayes theorem )

P( rookie | won 75% or less ) = P( rookie and won 75% or less ) / P( won 75% or less )

P( rookie | won 75% or less ) = 10 / (10 + 48 ) = 10/58 = 0.17

Therefore 0.17 is the required probability here.