The following table summarizes the results of a poll taken of CEO’s and analysts concerning the economic impact of a pending piece of legislation:
Votes for Positive Impact
CEOS: 40
Analyst: 70
Total: 110
Votes for Negative Impact
CEOS: 30
Analyst: 60
Total: 90
What is the probability that a randomly selected analyst votes that the legislation will have a positive impact on the economy? What is the probability that a randomly selected individual who votes that the legislation will have a negative impact on the economy will be a CEO?
Positive Impact | Negative impact | Total | |
CEO | 40 | 30 | 70 |
Analyst | 70 | 60 | 130 |
Total | 110 | 90 | 200 |
What is the probability that a randomly selected analyst votes that the legislation will have a positive impact on the economy?
Probability =
Probability of positive impact =
= 110 / 200
Probability having positive impact =
What is the probability that a randomly selected individual who votes that the legislation will have a negative impact on the economy will be a CEO?
We want to know that out of people who have a negative impact the selected individual is a CEO, this is because they have mentioned that individual has voted for negative impact and then we want to know proportion of CEO out of it.
Probability =
= 30 / 90
Probability =
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