Let X be a discrete random variable with outcomes {0,2,5,7,}{0,2,5,7,g}. If the mean of X is known to be 5, what is the value of g?

The primary concept for this question is finding the value of a random variable 'g' in a discrete distribution when the mean is given. In this case, the random variable X has five outcomes: {0,2,5,7,g}. The mean (or expected value) of a random variable is typically calculated as E(X) = µ = Σ xP(x) where x is each outcome and P(x) is its probability, which in a uniform distribution is 1/n (n being the total number of outcomes).

However, since the probabilities aren't explicitly provided in the question, we'll work under the assumption that X follows a uniform distribution, that is, each outcome has an equal likelihood. Considering that, given the mean is 5, and there are five outcomes, the total sum of all outcomes should be 5×5 = 25.

Therefore, we subtract the sum of provided outcomes from 25 that gives us the value of 'g'. So, g = 25 - (0+2+5+7) = 25 - 14 = 11.

Learn more about Discrete Distribution here:

https://brainly.com/question/32200496

#SPJ11