Question

	x
0	0.05714
1	0.17142
2	0.2
3	0.25714
4	0.11428
5	0.057142
6	0.114285
7	0.02857
8	0
9	0
10	0

Using the Data

NOTE: RF = relative frequency

(6 points) Use the table from the Theoretical Distribution section to calculate the following answers. Round your answers to four decimal places.

• P(x = 3) = _______________________
• P(1 < x < 4) = _______________________
• P(x ≥ 8) = _______________________

(6 points) Use the data from the Organize the Data section to calculate the following answers. Round your answers to four decimal places.

• RF(x = 3) = _______________________
• RF(1 < x < 4) = _______________________
• RF(x ≥ 8) = _______________________

• For questions 1 and 2, think about the shapes of the two graphs, the probabilities, the relative frequencies, the means, and the standard deviations.

• (2 points) Knowing that data vary, describe three similarities between the graphs and distributions of the theoretical, empirical, and simulation distributions. Use complete sentences.
• (2 points) Describe the three most significant differences between the graphs or distributions of the theoretical, empirical, and simulation distributions.
• (2 points) Using your answers from questions 1 and 2, does it appear that the two sets of data fit the theoretical distribution? In complete sentences, explain why or why not.
• (2 points) Suppose that the experiment had been repeated 500 times. Would you expect Table 4.16 or Figure 4.6 to change, and how would it change? Why? Why wouldn’t the other table(s) change?

Answer 1

Use the table from the Theoretical Distribution section to calculate the following answers. Round your answers to four decimal places.

• P(x = 3) = 0.25714
• P(1 < x < 4) = P(x = 2)+P(x = 3) =0.2 + 0.25714 =0.45714
• P(x ≥ 8) = P(x = 8)+P(x = 9)+P(x = 10)= 0+0+0 = 0

Use the data from the Organize the Data section to calculate the following answers. Round your answers to four decimal places.

Relative frequency is probability

Relative frequency = frequency / sum of total frequency = probability

• RF(x = 3) = 0.25714
• RF(1 < x < 4) = 0.45714
• RF(x ≥ 8) = 0