Question

what is the mean of a probability distribution? choose the correct answer below. a. the mean gives information on how the outcomes vary. b. the mean is the expected value of the random variable. c. the mean must be a possible value of the random variable. d. the mean represents the most likely outcome for the random variable.

Explanation:

The mean of a probability distribution is calculated as the sum of each possible outcome multiplied by its probability. It is equivalent to the expected value of the random - variable. Option A describes variance. The mean doesn't have to be a possible value of the random variable (e.g., in a binomial distribution with non - integer mean). The mode represents the most likely outcome, not the mean.

Answer:

B. The mean is the expected value of the random variable.