Chapter 13, Problem 17PT

To determine

Design a simulation using a random number generator .Report the results using appropriate numberical and graphical summaries.

Explanation of Solution

Given:

According to a football team’s offensive success rate, the team punts 40% of the time , kicks a field goal 30% of the time , loses possession 5% of the time , and scores a touchdown 25% of the time.

Calculation:

Step 1 :

Possible Outcomes	Theoritical Probability
Punt	40%
Field goal	30%
Loss possession	5%
Touchdown	25%

Step 2:

Assume that the offensive success will fall into these four categories.

Step 3:

Use a random number generator on your calculator.Use the ten integers 0-9 to accurately represent the probability data.The actual numbers used to represent the outcome does not matter.

Possible Outcomes	Represented By
Punt	0,1,2,3
Field goal	4,5,6
Loss possession	7
Touchdown	8,9

Step 4:

A trial means recording the offensive success rates of the football team in four categories. The simulation will consist of 20 trials.

Now, we record the results :

Possible Outcomes	Theoritical Probability	Frequency
Punt	40%	8
Field goal	30%	6
Loss possession	5%	1
Touchdown	25%	5
Total		20