Solution Found!
Random Digits The digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9
Chapter 5, Problem 5CRE(choose chapter or problem)
Problem 5CRE
Random Digits The digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are randomly selected for applications including the selection of lottery numbers and the selection of telephone numbers to be called as part of a survey. In the following tables, the table at the left summarizes actual results from 100 randomly selected digits, and the table at the right summarizes the probabilities of the different digits.
Digit |
Frequency |
0 |
9 |
1 |
7 |
2 |
12 |
3 |
10 |
4 |
10 |
5 |
11 |
6 |
8 |
7 |
8 |
8 |
14 |
9 |
11 |
Digit x |
P(x) |
0 |
0.1 |
1 |
0.1 |
2 |
0.1 |
3 |
0.1 |
4 |
0.1 |
5 |
0.1 |
6 |
0.1 |
7 |
0.1 |
8 |
0.1 |
9 |
0.1 |
a. What is the table at the left called?
b. What is the table at the right called?
c. Use the table at the left to find the mean. Is the result a statistic or a parameter?
d. Use the table at the right to find the mean. Is the result a statistic or a parameter?
e. If you were to randomly generate 1000 such digits, would you expect the mean of these 1000 digits to be close to the result from part (c) or part (d)? Why?
Questions & Answers
QUESTION:
Problem 5CRE
Random Digits The digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are randomly selected for applications including the selection of lottery numbers and the selection of telephone numbers to be called as part of a survey. In the following tables, the table at the left summarizes actual results from 100 randomly selected digits, and the table at the right summarizes the probabilities of the different digits.
Digit |
Frequency |
0 |
9 |
1 |
7 |
2 |
12 |
3 |
10 |
4 |
10 |
5 |
11 |
6 |
8 |
7 |
8 |
8 |
14 |
9 |
11 |
Digit x |
P(x) |
0 |
0.1 |
1 |
0.1 |
2 |
0.1 |
3 |
0.1 |
4 |
0.1 |
5 |
0.1 |
6 |
0.1 |
7 |
0.1 |
8 |
0.1 |
9 |
0.1 |
a. What is the table at the left called?
b. What is the table at the right called?
c. Use the table at the left to find the mean. Is the result a statistic or a parameter?
d. Use the table at the right to find the mean. Is the result a statistic or a parameter?
e. If you were to randomly generate 1000 such digits, would you expect the mean of these 1000 digits to be close to the result from part (c) or part (d)? Why?
ANSWER:Answer:
Step 1:
Given that,The digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are randomly selected for applications including the selection of lottery numbers and the selection of telephone numbers to be called as part of a survey.
In the given tables, the table at the left summarizes actual results from 100 randomly selected digits, and the table at the right summarizes the probabilities of the different digits.
Left table |
Right table |
||
Digit(x) |
Frequency(f) |
Digit (x) |
P(x) |
0 |
9 |
0 |
0.1 |
1 |
7 |
1 |
0.1 |
2 |
12 |
2 |
0.1 |
3 |
10 |
3 |
0.1 |
4 |
10 |
&nbs |
|