Step-by-step explanation:
Given,
Total number of multiple choice questions = 17
To find, the mean for the number of correct answers = ?
Each question has four possible answers.
If guessing at random:
There is only one in four chances.
[tex]\dfrac{1}{4}\times 100[/tex] = 25 % chance of getting a particular question right.
This is the same probability for each of the 17 questions.
If there is a 25 % chance of getting any given question right.
There are 17 questions.
∴ The total number of questions you will expect to get right =
25 % × 17
= [tex]\dfrac{25}{100} \times 17[/tex]
= [tex]\dfrac{17}{4}[/tex]
= 4.25
≈ 4.3
∴ The mean for the number of correct answers = 4.3
Thus, the required "option c) 4.3" is correct.
The mean for the number of correct answers is c. 4.3
Since each question has four possible answers, one of which is correct
Hence:
1/4=0.25 or 25%
Which means there is 25% chance of getting a particular question that is correct
Now let find the mean for the number of correct answers
Using this formula
Mean = n*p
Where:
n represent Number of questions
p represent probability
Let plug in the formula
Mean= 17×0.25
Mean= 4.25
Mean= 4.3 (Approximately)
Inconclusion The mean for the number of correct answers is c. 4.3
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