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.
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