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The accompanying table shows the frequencies that a football team called a running play or a...

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.

Down and distance

Run

Pass

1st down and 10 or more yards to go

56

81

2nd down and 6 or more yards to go

27

53

2nd down and 5 or less yards to go

19

11

3rd down and 2 or more yards to go

2

60

3rd down and 1 yard to go

 1 4

​a) What is the probability that the team will pass the ball on any given​ down?

​b) What is the probability that the team will run the ball and it is second​ down?

​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?

​d) What is the probability that the team will run the ball and it is 1st​ down?

​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?

​f) Construct a decision tree for these events. or similar.

math   Statistics-And-Probability   
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