(a) A physical therapist at a certain university knows that the football team will play 40% of its games on artificial turf this season. He also knows that football player's chances of incurring a...

Extracted text: (a) A physical therapist at a certain university knows that the football team will play 40% of its games on artificial turf this season. He also knows that football player's chances of incurring a knee injury are 50% higher if he is playing artificial turf instead of grass. If player's probability of knee injury artificial turf is 0.42 what is the probability that 1. A randomly selected football player incurs a knee injury 2. A randomly selected football player with a knee injury incurred the injury playing on grass. (b) If the therapist is also interested in studying the relationship between foot injury and position played. His data gathered over a three year period are summerised in the following table : Offensive Defensive Offensive Defensive line line back field back field 56 24 20 45 Number of players Number injured 32 38 11 77 94 35 29 Total 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 back field (d) defensive back field.