Question

Suppose, according to a large research poll in a certain year, 54% of respondents agreed that the affordability of health care was a very big problem and 35% agreed that climate change was a very big problem. Assume that agreement (or disagreement) with one of these statements is independent of agreement (or disagreement) with the other.

What type of probability distribution does this scenario represent?

a) Joint Probability Distribution
b) Marginal Probability Distribution
c) Conditional Probability Distribution
d) Binomial Probability Distribution

Answer 1

The scenario represents a Joint Probability Distribution since the probabilities of agreeing with two statements are considered together.

Step-by-step explanation:

The scenario described represents a Joint Probability Distribution. In this case, the probability of agreeing with the statement about the affordability of health care and the probability of agreeing with the statement about climate change are considered together. Since the two probabilities are independent of each other, the joint probability distribution can be calculated by multiplying the probabilities of each event occurring separately. For example, the probability of both events occurring (agreeing with both statements) would be the product of the probability of agreeing with the affordability of health care and the probability of agreeing with climate change.