Random Processes and Relative Frequency Part 1: A six sided die is rolled repeatedly. The possible equally likely outcomes are 1, 2, 3, 4, 5, or 6. The graph represents the relative frequency of 4's that occur (number of 4's divided by the total number of rolls) versus the number of times the die was rolled for the first 20 rolls. The table shows these values, and in addition, the total number of 4's after each number of rolls. Use this information to answer the questions below. Short Term Relative Frequency 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 1 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Number of Die Rolls Short Term Relative Frequency: Rolls 1 – 10 1 2 Number of Rolls 3 4 5 6 7 9 10 Number of 4's 1 1 1 1 2 2 2 2 Relative 0.3333 0.25 0.2 0.1667 0.2857 0.25 0.2222 0.2 Frequency of 4's Short Term Relative Frequency: Rolls 11 – 20 Number of 11 12 13 14 15 16 17 18 19 20 Rolls Number of 2 2 2 2 2 3 4 4 4 4 4's Relative Frequency 0.1818 0.1667 0.1538 0.1429 0.1333 0.1875 0.2353 0.2222 0.2105 0.2 of 4's a) What is the minimum relative frequency of the number of 4's for the first 20 rolls? b) What is the maximum relative frequency of the number of 4's for the first 20 rolls? c) What is the difference between the minimum relative frequency and the maximum relative frequency of the number of 4's for the first 20 rolls? Write your answer as a percent. % Relative Frequency of '4 8.
Random Processes and Relative Frequency Part 1: A six sided die is rolled repeatedly. The possible equally likely outcomes are 1, 2, 3, 4, 5, or 6. The graph represents the relative frequency of 4's that occur (number of 4's divided by the total number of rolls) versus the number of times the die was rolled for the first 20 rolls. The table shows these values, and in addition, the total number of 4's after each number of rolls. Use this information to answer the questions below. Short Term Relative Frequency 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 1 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Number of Die Rolls Short Term Relative Frequency: Rolls 1 – 10 1 2 Number of Rolls 3 4 5 6 7 9 10 Number of 4's 1 1 1 1 2 2 2 2 Relative 0.3333 0.25 0.2 0.1667 0.2857 0.25 0.2222 0.2 Frequency of 4's Short Term Relative Frequency: Rolls 11 – 20 Number of 11 12 13 14 15 16 17 18 19 20 Rolls Number of 2 2 2 2 2 3 4 4 4 4 4's Relative Frequency 0.1818 0.1667 0.1538 0.1429 0.1333 0.1875 0.2353 0.2222 0.2105 0.2 of 4's a) What is the minimum relative frequency of the number of 4's for the first 20 rolls? b) What is the maximum relative frequency of the number of 4's for the first 20 rolls? c) What is the difference between the minimum relative frequency and the maximum relative frequency of the number of 4's for the first 20 rolls? Write your answer as a percent. % Relative Frequency of '4 8.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:Random Processes and Relative Frequency
Part 1: A six sided die is rolled repeatedly. The possible equally likely outcomes are 1, 2, 3, 4, 5, or 6. The graph
represents the relative frequency of 4's that occur (number of 4's divided by the total number of rolls) versus the
number of times the die was rolled for the first 20 rolls. The table shows these values, and in addition, the total number
of 4's after each number of rolls. Use this information to answer the questions below.
Short Term Relative Frequency
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
1 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Number of Die Rolls
Short Term Relative Frequency: Rolls 1 – 10
1 2
Number of Rolls
3
4 5
6
7
9
10
Number of 4's
1
1
1
1
2
2
2
2
Relative
0.3333
0.25
0.2
0.1667
0.2857
0.25
0.2222
0.2
Frequency
of 4's
Short Term Relative Frequency: Rolls 11 – 20
Number of
11
12
13
14
15
16
17
18
19
20
Rolls
Number of
2
2
2
2
2
3
4
4
4
4
4's
Relative
Frequency 0.1818 0.1667 0.1538 0.1429 0.1333 0.1875 0.2353 0.2222 0.2105 0.2
of 4's
a) What is the minimum relative frequency of the number of 4's for the first 20 rolls?
b) What is the maximum relative frequency of the number of 4's for the first 20 rolls?
c) What is the difference between the minimum relative frequency and the maximum relative frequency of the number
of 4's for the first 20 rolls? Write your answer as a percent.
%
Relative Frequency of '4
8.
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