In the National Football League every team must submitan injury list prior to each game. The list contains thenames of the players who are “out”, meaning they will not play in the game. There are also three other catego-ries: “Doubtful”, “Questionable”, and “Probable”. The guidelines state that “Doubtful” should mean about a25% chance that the player will play, and “Questionable”means about a 50% chance that the player will play. The table below shows what happened with the three catego-ries of players for a particular week. a) What percent of these players who did play had beenlisted as probable?b) What percent of these players were listed as probableand did play? c) Create a graph that compares players’ chances of get-ting into the game for the three status categories. d) Based on this information, is whether or not a playergets into the game independent of his pre-gamestatus? Explain.   Doubtful Questionable ProbablePlayed 4 16 52Did Not Play 16 20 12

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In the National Football League every team must submit
an injury list prior to each game. The list contains the
names of the players who are “out”, meaning they will
not play in the game. There are also three other catego-
ries: “Doubtful”, “Questionable”, and “Probable”. The
guidelines state that “Doubtful” should mean about a
25% chance that the player will play, and “Questionable”
means about a 50% chance that the player will play. The
table below shows what happened with the three catego-
ries of players for a particular week.
a) What percent of these players who did play had been
listed as probable?
b) What percent of these players were listed as probable
and did play?
c) Create a graph that compares players’ chances of get-
ting into the game for the three status categories.
d) Based on this information, is whether or not a player
gets into the game independent of his pre-game
status? Explain.
 
Doubtful Questionable Probable
Played 4 16 52
Did Not Play 16 20 12
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