Question

stem-and-leaf plot for the number of touchdowns scored by all division 1a football teams is shown below. complete parts (a) through (c).

1 | 3 4 5 7 8 8
2 | 0 1 2 2 3 4 5 7 8 8 9
3 | 0 0 1 1 1 2 2 3 3 4 4 5 5 7 7 7 8 9
4 | 0 0 1 2 2 3 4 5 5 5 5 6 7 8 8 9
5 | 0 2 3 5 5 7 8
6 | 1 3 6 7
7 |
8 | 7

key: 1|5 = 15

(a) if a team is selected at random, find the probability the team scored at least 32 touchdowns.
0.651
(round to three decimal places as needed.)

(b) if a team is selected at random, find the probability the team scored between 40 and 48 touchdowns inclusive.
0.238
(round to three decimal places as needed.)

(c) if a team is selected at random, find the probability the team scored more than 71 touchdowns.
(round to three decimal places as needed.)

Explanation:

Count total observations

Using the Stem-and-Leaf Plot knowledge point

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Verify parts (a) and (b)

Using the Classical Probability knowledge point

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Calculate part (c)

Using the Classical Probability knowledge point

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Answer:

Question 1

(a) If a team is selected at random, find the probability the team scored at least 32 touchdowns.

0.651

Question 2

(b) If a team is selected at random, find the probability the team scored between 40 and 48 touchdowns inclusive.

0.238

Question 3

(c) If a team is selected at random, find the probability the team scored more than 71 touchdowns.

0.016