Concept explainers
Whether the given statement is correct and explain the reasoning.
Answer to Problem 26PPS
Explanation of Solution
Given:
Liana and Shannon created probability distributions for the sum of two spins on the spinner at the right.
The graph is given as:
From the spinner, the probability distribution is given as:
Color number | Probability |
2 | 0.5 |
3 | 0.125 |
4 | 0.125 |
5 | 0.25 |
The following table is showing the sum of two spins and their corresponding probabilities:
4 | 0.25 |
5 | 0.0625 |
6 | 0.0625 |
7 | 0.125 |
5 | 0.0625 |
6 | 0.015625 |
7 | 0.015625 |
8 | 0.03125 |
6 | 0.0625 |
7 | 0.015625 |
8 | 0.015625 |
9 | 0.03125 |
7 | 0.125 |
8 | 0.03125 |
9 | 0.03125 |
10 | 0.0625 |
The probability distribution of the two spins:
Sum of two spins | Probability |
4 | 0.25 |
5 | 0.125 |
6 | 0.140625 |
7 | 0.28125 |
8 | 0.078125 |
9 | 0.0625 |
10 | 0.0625 |
Now, the relative frequency diagram is shown below:
Therefore, none of the Liana and the Shannon is correct.
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