Long Term Relative Frequency Number of 991 992 993 994 995 996 997 998 999 1000 Tosses Number of Неads 511 512 513 513 514 515 515 515 515 515 Relative Frequency 0.5156 0.5161 0.5166 0.5161 0.5166 0.5171 0.5165 0.516 0.5155 0.515 of Heads Since the coin is fair, on average, approximately half of the tosses should be heads. So when the coin is tossed 1000 mes approximately 500 of the tosses should be heads. What is the actual number of heads for 1000 tosses as given y the chart? What is the difference between the number of heads we should expect on average, 500, and the actual number of eads for 1000 tosses? What is the difference between the percent we expect to be heads on average, 50 % , and the relative frequency as percent from the table for 1000 tosses? %
Long Term Relative Frequency Number of 991 992 993 994 995 996 997 998 999 1000 Tosses Number of Неads 511 512 513 513 514 515 515 515 515 515 Relative Frequency 0.5156 0.5161 0.5166 0.5161 0.5166 0.5171 0.5165 0.516 0.5155 0.515 of Heads Since the coin is fair, on average, approximately half of the tosses should be heads. So when the coin is tossed 1000 mes approximately 500 of the tosses should be heads. What is the actual number of heads for 1000 tosses as given y the chart? What is the difference between the number of heads we should expect on average, 500, and the actual number of eads for 1000 tosses? What is the difference between the percent we expect to be heads on average, 50 % , and the relative frequency as percent from the table for 1000 tosses? %
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 heads that occur (number of heads divided by the total
number of tosses) versus the number of times the coin was tossed for the first io00 tosses. The table shows these
values, and in addition, the total number of heads for the 991st to 1000th tosses. Use this information to answer the
questions below.
Long Term Relative Frequency
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 Coin Flips
Long Term Relative Frequency
Number of
991
992
993
994
995
996
997
998
999
1000
Tosses
Number of
Heads
511
512
513
513
514
515
515
515
515
515
Relative
Frequency
of Heads
0.5156 0.5161 0.5166 0.5161 0.5166 0.5171
0.5165 0.516 0.5155 0.515
d) Since the coin is fair, on average, approximately half of the tosses should be heads. So when the coin is tossed 1000
times approximately 500 of the tosses should be heads. What is the actual number of heads for 1000 tosses as given
by the chart?
e) What is the difference between the number of heads we should expect on average, 500, and the actual number of
heads for 1000 tosses?
f) What is the difference between the percent we expect to be heads on average, 50 % , and the relative frequency as
a percent from the table for 1000 tosses?
%
Rel ative Frequency of Heads
-o 00 N ont
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