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Question

The probability of both sample information and a particular state of nature occurring simultaneously is known as _____ probability. a. conditional b. marginal c. unconditional d. joint

Answer

As I'm sure you all know, joint probability is the term used to describe the likelihood of both sample information and a particular state of nature occurring at the same time. In the case of this question, we're dealing with two random variables that are defined on the same probability space, and joint probability is a statistic that helps us calculate the probability of both events happening together. Specifically, we're looking at the probability of sample information and the state of nature occurring at the same time, and we can conclude that if the state of nature remains the same, it won't affect the sample or the output. However, if the nature of the sample changes, then the output will also change accordingly. That being said, in this particular scenario, both events are happening simultaneously without altering the nature of the sample. Therefore, the correct option is D, joint probability. If you'd like to learn more about joint probability, check out brainly.com/question/27098956 #SPJ1.