Part 1: A fair coin is tossed repeatedly. The graph 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 10 tosses. T table shows these values, and in addition, the total number of heads after each number of tosses. Use this information to answer the questions below. Short Term Relative Frequency 1 0.9 0.8 0.7 0.6 y of Heads

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Random Processes and Relative Frequency
Part 1: A fair coin is tossed repeatedly. The graph 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 10 tosses. The
table shows these values, and in addition, the total number of heads after each number of tosses. 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
3
4
5
6
7
9
10
Number of Coin Flips
Short Term Relative Frequency
Number of Tosses
1
2
3
4
5
6
7
8
10
Number of Heads
1
2
3
4
6
7
8
Relative Frequency
of Heads
0.6667 0.7143
0.3333
0.5
0.6
0.75
0.7778
0.8
a) What is the minimum relative frequency of the number of heads for the first 10 tosses?
b) What is the maximum relative frequency of the number of heads for the first 10 tosses?
c) What is the difference between the minimum relative frequency and the maximum relative frequency of the number
of heads for the first 10 tosses? Write your answer as a percent.
Rel ative Frequency of Heads
00
Transcribed Image Text:Random Processes and Relative Frequency Part 1: A fair coin is tossed repeatedly. The graph 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 10 tosses. The table shows these values, and in addition, the total number of heads after each number of tosses. 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 3 4 5 6 7 9 10 Number of Coin Flips Short Term Relative Frequency Number of Tosses 1 2 3 4 5 6 7 8 10 Number of Heads 1 2 3 4 6 7 8 Relative Frequency of Heads 0.6667 0.7143 0.3333 0.5 0.6 0.75 0.7778 0.8 a) What is the minimum relative frequency of the number of heads for the first 10 tosses? b) What is the maximum relative frequency of the number of heads for the first 10 tosses? c) What is the difference between the minimum relative frequency and the maximum relative frequency of the number of heads for the first 10 tosses? Write your answer as a percent. Rel ative Frequency of Heads 00
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