Answered: The physical therapist from Exercise… | bartleby

The physical therapist from Exercise 4-48 is also interested in studying the relationship between foot injuries and position played. His data, gathered over a 3-year period, are sum- marized in the following table: Defensive Backfield Offensive Defensive Offensive Line Line Backfield Number of players 45 56 24 20 Number injured 32 38 11 Given that a randomly selected player incurred a foot injury, what is the probability that he plays in the (a) offensive line, (b) defensive line, (c) offensive backfield, and (d) defensive backfield?

College Algebra

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 3P: Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the...

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The physical therapist from Exercise 4-48 is also interested in studying the relationship
between foot injuries and position played. His data, gathered over a 3-year period, are sum-
marized in the following table:
Offensive
Defensive
Offensive
Defensive
Line
Line
Backfield
Backfield
Number of players
45
56
24
20
Number injured
32
38
11
Given that a randomly selected player incurred a foot injury, what is the probability that he
plays in the (a) offensive line, (b) defensive line, (c) offensive backfield, and (d) defensive
backfield?
II

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Dividing a Jackpot A game between two pIayers consists of tossing coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an $8000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning (and that of B winning) if the game were to continue? The French mathematicians Pascal and Fermat corresponded about this problem, and both came to the same correct conclusion (though by very different reasoning's). Their friend Roberval disagreed with both of them. He argued that player A has probability of Winning, because the game can end in the four ways H, TH, TTH, TTT, and in three of these, A wins. Roberval’s reasoning was wrong. Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform this experiment 80 or more times, and estimate the probability that player A wins. Calculate the probability that player A wins. Compare with your estimate from part (a).

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