The accompanying table shows the frequencies that a football team called a runni

Question

The accompanying table shows the frequencies that a football team called a running play or a passing play for various down and distance situations for the first five games of a season. Complete parts a) through f) below EEB Click here to view the data table for the football team a) What is the probability that the team will pass the ball on any given down? (Round to three decimal places as needed.) b) What is the probability that the team will run the ball and it is second down? (Round to three decimal places as needed.) c) What is the probability that the team will pass the ball, given that it is 3rd down and they have 1 yard to go? (Round to three decimal places as needed.) d) What is the probability that the team will run the ball and it is 1st down? (Round to three decimal places as needed.) e) What is the probability that the team will run the ball, given that it is 2nd down and they have 6 or more yards to go? (Round to three decimal places as needed.) f) Choose the correct decision tree for these events below iFootball Play Frequencies P(run and 1st)-0.261 P(run and 2nd & 6+) 0.171 P(run and 2nd & 5-)-0.032 P(run) 0.668 and 3rd & 2-)-0.197 Prun and 3rd & 1)=0.006 Run Pass Down and distance 1st down and 10 or more vards to go54 2nd down and 6 or more yards to go 2nd down and 5 or less yards to go 3rd down and 2 or more yards to go 3rd down and 1 yard to go P(Pass & 1st 0.174 81 53 10 61 ss and 2nd & 6+)=0.09 P(pass)-0.332 P(pass and 2nd & 5--0.055 P(pass and,3rd&2+) 0.01 P(pass and 3rd & 1-0.003 28 17 P(run and 1st-0.174 P(run and 2nd & 6+) 0.09 P(run and 2nd & 5-)-0.055 (run and 3rd & 2+)-0.01 (run and 3rd & 1)-0.003 P(Pass & 1st)=0.261 P(run)=0.332 sand 2nd & 6+)=0.171 P(pass)-0.668 Print Done P(pass and 2nd & 5-)-0.032 P(pass and 3rd & 2-)=0.197 P(pass and 3rd & 1) 0.006 Click to select your answer(s).

Explanation / Answer

a) probability =207/310 = 0.668

b) P(run and 2nd down) =(28+17)/310=0.145

c)P(P(pass|3rd down and 1 yard to go) =2/3 =0.667

d)P(run and 1st down)=54/310=0.174

e) probability =28/81=0.345

option B is correct

run pass total 1st down and 10 or more to go 54 81 135 2nd down and 6 or more to go 28 53 81 2nd down and 5 or less to go 17 10 27 3rd down and 2 or more to go 3 61 64 3rd down and 1 yard to go 1 2 3 total 103 207 310

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