1 5) Since the die is fair, on average, approximately- of the rolls should be 4's. So when the die is rolled 600 times approximately 100 of the tosses should be 4's. What is the actual number of 4's for 600 rolls as given by the chart? e) What is the difference between the number of 4's we should expect on average, 100, and the actual number of 4's For 600 rolls? ) What is the difference between the percent we expect to be 4's on average, 16.67 %, and the relative frequency as a percent from the table for 600 rolls? %
1 5) Since the die is fair, on average, approximately- of the rolls should be 4's. So when the die is rolled 600 times approximately 100 of the tosses should be 4's. What is the actual number of 4's for 600 rolls as given by the chart? e) What is the difference between the number of 4's we should expect on average, 100, and the actual number of 4's For 600 rolls? ) What is the difference between the percent we expect to be 4's on average, 16.67 %, and the relative frequency as a percent from the table for 600 rolls? %
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Part 2: The graph below 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 1000 rolls. The table shows these values, and in
addition, the total number of 4's for the 591st to 600th rolls. Use this information to answer the questions below.
Long Term Relative Frequency
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
100 200 300 400 500 600 700 800 900 1000
Number of Die Rolls
Long Term Relative Frequency
Number of
Rolls
591
592
593
594
595
596
597
598
599
600
Number of 4's
101
101
102
102
102
102
102
102
102
102
Relative
Frequency
of 4's
0.1709 0.1706 0.172 0.1717 0.1714 0.17110.1709 0.1706 0.1703 0.17
d) Since the die is fair, on average, approximately - of the rolls should be 4's. So when the die is rolled 600 times
approximately 100 of the tosses should be 4's. What is the actual number of 4's for 600 rolls as given by the chart?
e) What is the difference between the number of 4's we should expect on average, 100, and the actual number of 4's
for 600 rolls?
f) What is the difference between the percent we expect to be 4's on average, 16.67 % , and the relative frequency as
a percent from the table for 600 rolls?
%
Relative Frequency of 4
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