Get personalized answers to your specific questions with IDNLearn.com. Discover comprehensive answers to your questions from our community of knowledgeable experts.
Sagot :
To complete the frequency table, we need to count the occurrences of each possible number of heads (0, 1, 2, and 3) from the list of results. Here are the detailed steps:
1. List of Results:
[tex]\[ [2, 1, 0, 2, 2, 0, 2, 2, 3, 2, 1, 2, 1, 2, 1, 1, 2, 1, 3, 1] \][/tex]
2. Counting the Number of Heads:
- Number of Heads = 0: Count the zeros in the list.
- Number of Heads = 1: Count the ones in the list.
- Number of Heads = 2: Count the twos in the list.
- Number of Heads = 3: Count the threes in the list.
3. Frequency Calculation:
- Count of zeros (0 heads):
[tex]\[ [2, 1, 0, 2, 2, 0, 2, 2, 3, 2, 1, 2, 1, 2, 1, 1, 2, 1, 3, 1] \rightarrow \text{There are 2 zeros} \][/tex]
Thus, [tex]\( a = 2 \)[/tex].
- Count of ones (1 head):
[tex]\[ [2, 1, 0, 2, 2, 0, 2, 2, 3, 2, 1, 2, 1, 2, 1, 1, 2, 1, 3, 1] \rightarrow \text{There are 7 ones} \][/tex]
Thus, [tex]\( b = 7 \)[/tex].
- Count of twos (2 heads):
[tex]\[ [2, 1, 0, 2, 2, 0, 2, 2, 3, 2, 1, 2, 1, 2, 1, 1, 2, 1, 3, 1] \rightarrow \text{There are 9 twos} \][/tex]
Thus, [tex]\( c = 9 \)[/tex].
- Count of threes (3 heads):
[tex]\[ [2, 1, 0, 2, 2, 0, 2, 2, 3, 2, 1, 2, 1, 2, 1, 1, 2, 1, 3, 1] \rightarrow \text{There are 2 threes} \][/tex]
Thus, [tex]\( d = 2 \)[/tex].
4. Filling the Frequency Table:
[tex]\[ \begin{tabular}{|c|c|} \hline Number of Heads & Frequency \\ \hline 0 & 2 \\ \hline 1 & 7 \\ \hline 2 & 9 \\ \hline 3 & 2 \\ \hline \end{tabular} \][/tex]
The completed frequency table is:
[tex]\[ a = 2, \; b = 7, \; c = 9, \; d = 2 \][/tex]
1. List of Results:
[tex]\[ [2, 1, 0, 2, 2, 0, 2, 2, 3, 2, 1, 2, 1, 2, 1, 1, 2, 1, 3, 1] \][/tex]
2. Counting the Number of Heads:
- Number of Heads = 0: Count the zeros in the list.
- Number of Heads = 1: Count the ones in the list.
- Number of Heads = 2: Count the twos in the list.
- Number of Heads = 3: Count the threes in the list.
3. Frequency Calculation:
- Count of zeros (0 heads):
[tex]\[ [2, 1, 0, 2, 2, 0, 2, 2, 3, 2, 1, 2, 1, 2, 1, 1, 2, 1, 3, 1] \rightarrow \text{There are 2 zeros} \][/tex]
Thus, [tex]\( a = 2 \)[/tex].
- Count of ones (1 head):
[tex]\[ [2, 1, 0, 2, 2, 0, 2, 2, 3, 2, 1, 2, 1, 2, 1, 1, 2, 1, 3, 1] \rightarrow \text{There are 7 ones} \][/tex]
Thus, [tex]\( b = 7 \)[/tex].
- Count of twos (2 heads):
[tex]\[ [2, 1, 0, 2, 2, 0, 2, 2, 3, 2, 1, 2, 1, 2, 1, 1, 2, 1, 3, 1] \rightarrow \text{There are 9 twos} \][/tex]
Thus, [tex]\( c = 9 \)[/tex].
- Count of threes (3 heads):
[tex]\[ [2, 1, 0, 2, 2, 0, 2, 2, 3, 2, 1, 2, 1, 2, 1, 1, 2, 1, 3, 1] \rightarrow \text{There are 2 threes} \][/tex]
Thus, [tex]\( d = 2 \)[/tex].
4. Filling the Frequency Table:
[tex]\[ \begin{tabular}{|c|c|} \hline Number of Heads & Frequency \\ \hline 0 & 2 \\ \hline 1 & 7 \\ \hline 2 & 9 \\ \hline 3 & 2 \\ \hline \end{tabular} \][/tex]
The completed frequency table is:
[tex]\[ a = 2, \; b = 7, \; c = 9, \; d = 2 \][/tex]
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your questions deserve reliable answers. Thanks for visiting IDNLearn.com, and see you again soon for more helpful information.