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 1000 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 Tosses 991 992 993 994 995 996 997 998 999 1000 Number of Heads 511 512 513 513 514 515 515 515 515 515 Relative 0.5156 0.5161 0.5166 0.5161 0.5166 0.5171 0.5165 0.516 0.5155 0.515 Frequency of Heads a) What is the minimum relative frequency of the number of heads for the tosses between 991 and 1000? b) What is the maximum relative frequency of the number of heads for the tosses between 991 and 1000? c) What is the difference between the minimum relative frequency and the maximum relative frequency of the number of heads for for the tosses between 991 and 1000? Write your answer as a percent. % 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? Relative Frequency of Heads -9 0 7 6n4m
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 1000 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 Tosses 991 992 993 994 995 996 997 998 999 1000 Number of Heads 511 512 513 513 514 515 515 515 515 515 Relative 0.5156 0.5161 0.5166 0.5161 0.5166 0.5171 0.5165 0.516 0.5155 0.515 Frequency of Heads a) What is the minimum relative frequency of the number of heads for the tosses between 991 and 1000? b) What is the maximum relative frequency of the number of heads for the tosses between 991 and 1000? c) What is the difference between the minimum relative frequency and the maximum relative frequency of the number of heads for for the tosses between 991 and 1000? Write your answer as a percent. % 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? Relative Frequency of Heads -9 0 7 6n4m
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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