Respuesta :
Answer:
The mean score is 7.31. This means that each time the student takes this test, he is expected to get a score of 7.31.
Step-by-step explanation:
We have these following probabilities:
A 0.07 = 7% probability that the student scores 5 points.
A 0.17 = 17% probability that the student scores 6 points.
A 0.38 = 38% probability that the student scores 7 points.
A 0.21 = 21% probability that the student scores 8 points.
A 0.1 = 10% probability that the student scores 9 points.
A 0.07 = 7% probability that the student scores 10 points.
Mean score
We multiply each score by it's probability. So
[tex]M = 0.07*5 + 0.17*6 + 0.38*7 + 0.21*8 + 0.1*9 + 0.07*10 = 7.31[/tex]
The mean score is 7.31. This means that each time the student takes this test, he is expected to get a score of 7.31.
Answer:
Mean score of the given data is 7.31.
Step-by-step explanation:
We are given that a true-false quiz with 10 questions was given to a statistics class.
Following is the probability distribution for the score of a randomly chosen student;
X P(X) [tex]X \times P(X)[/tex]
5 0.07 0.35
6 0.17 1.02
7 0.38 2.66
8 0.21 1.68
9 0.10 0.9
10 0.07 0.7
[tex]\sum P(X)[/tex] = 1
Firstly, it should be noted that the sum of probabilities, P(X) must be equal to 1.
Now, mean score is given by the following formula;
Mean, E(X) = [tex]\sum X \times P(X)[/tex] {i.e. multiplying each score with the respective probability}
Mean, E(X) = 0.35 + 1.02 + 2.66 + 1.68 + 0.9 + 0.7
= 7.31
So, the mean score is 7.31.
The interpretation of this score is that when the student takes a true-false quiz with 10 questions, he will on average is expected to get a score of 7.31.
