Answer:
(a) and (c)
Step-by-step explanation:
Given
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Required
Select all true statements
First, calculate the total observed frequency;
<u>(a): Relative frequency of 4 is 2/9</u>
Relative frequency is calculated by:
For roll 4
So, the relative frequency is:
Simplify
<em>(a) is true</em>
<u>(b): Experimental probability of 3 greater than its theoretical probability</u>
The experimental probability is its relative frequency;
For roll 3
The experimental probability is:
Simplify
To calculate the theoretical probability, w have:
---- sample space
--- number of times 3 occur
The theoretical probability is:
The theoretical probability is experimental probability.
<em>(b) is false</em>
<u>(c): Experimental probability of 2 greater than its theoretical probability</u>
Using the explanations in (b), we have:
For roll 2
The experimental probability is:
Simplify
To calculate the theoretical probability, we have:
The theoretical probability is:
The experimental probability is theoretical probability.
<em>(c) is true</em>
<u>(d): Relative frequency of 5 is 2/13</u>
For roll 5
The relative frequency is:
Simplify
<em>(d) is true</em>