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ECO 2150 Probability and Statistics for Economists

Midterm 2 Part B Summer 2021

Question 1 (5 points)

Use a Venn diagram to show that (A∩B)c =Ac∪Bc.

Question 2 (15 points)

In a recent survey about compulsory vaccination, 64 % of the respondents said that they support compulsory vaccination. Females comprised 48% of the sample, and 46% of females supported compulsory vaccination.

When answering the questions below, make sure to explain your answers (show how you got the answers). More than half of the points for each question are allocated to your explanations. Keep 4 digits after the period for all questions (e.g., 0.4500).

a.What is the probability that a randomly selected person is both a female and a compulsory vaccination supporter? (4 points)

b.Suppose we select a person who does not support compulsory vaccination, what is the probability that the person is not a female? (4 points)

c.What is the probability that a randomly selected person is a female or does not support compulsory vaccination? (4 points)

d. Based on the information above, are being a female and being a compulsory vaccination supporter independent events? Why? (3 points)