Directions (55-57): Read the following table carefully and answer the questions given below.
In the table some numbers are given and the probability of picking that number is given.
| NUMBERS | Probability |
|---|---|
| Q |
|
| 2.5 |
|
| Q − 2.5 |
|
| P |
|
|
|
|
| 18.75 |
|
Correct Answer :
4
Solution :
The correct answer is 4.
Step-by-step explanation:
From the given table, we can list the six numbers contained in the box:
1.
2.
3.
4.
5.
6.
We are given that the simple arithmetic average of all these numbers in the box is 7. Since there are 6 numbers in total, their average is given by:
Multiply both sides by 6:
Simplify the terms in the equation:
Subtract 16.25 from both sides:
To find the required value, we first need to determine the value of and . From the options and standard integer solutions for equations of this type, we test :
If , then:
Now we substitute the value of into the expression we need to evaluate:
Substituting :
Thus, the value of the expression is 4.
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