Question

A true-false quiz with 10questions was given to a statistics class. Following is the probability distribution for the score of a randomly chosen student. Find the mean score and interpret the result. Round the answers to two decimal places as needed.
x 5 6 7 8 9 10
Px 0.06 0.12 0.33 0.29 0.13 0.07
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1). The mean is____.
2). If we were to give this quiz to more and more students, the mean score for these students would approach ___.

Answer 1

Using the mean formula and it's interpretation, it is found that:

1. The mean is 7.52.

2. If we were to give this quiz to more and more students, the mean score for these students would approach 7.52.

The mean of a discrete distribution is given by the sum of each outcome divided by it's respective probability.

Hence, in this problem, according to the distribution given, the mean is:

$E(X) = 5(0.06) + 6(0.12) + 7(0.33) + 8(0.29) + 9(0.13) + 10(0.07) = 7.52$

The mean is 7.52.

The interpretation is that over many trials, the mean would approach 7.52.

A similar problem is given at https://brainly.com/question/24855677