# Introductory Statistics: 10 Multiple Choice Questions

I have 10 multiple choice questions. I have marked what I think are the answers. I would like to know how to get the answers (using what method/equation) etc and correct those that are wrong.

If you would please present the "how" in an easy to understand, simple way. This is an introductory statistics course in a Masters program at university.

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#### Solution Preview

The solution file is attached.

(1) P(B ∩ A) = P(B) - P(B ∩ Not A) = 0.5 - 0.3 = 0.2

P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 0.4 + 0.5 - 0.2 = 0.7

Option (c)

(2) The sample mean = (4 + 3 + 1 + 0 + 2)/5 = 2

Deviations of the scores from the mean are respectively d = {2, 1, -1, -2, 0}

Squares of the deviations are respectively d^2 = {4, 1, 1, 4, 0}

Variance = ∑d^2 /(N - 1) = (4 + 1 + 1 + 4 + 0)/4 = 2.50

Option (c)

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#### Solution Summary

All ten questions have been solved in detail and answers given.