Final answer:
The mean of a random variable x is calculated by multiplying each value of the random variable by its probability and adding the products. The formula for calculating the mean is E(X) = µ = Σ xP(x), where x represents the values of the random variable X and P(x) represents the corresponding probabilities.
Step-by-step explanation:
The mean of a random variable x is calculated by multiplying each value of the random variable by its probability and adding the products. This is represented by the formula E(X) = µ = Σ xP(x), where x represents the values of the random variable X and P(x) represents the corresponding probabilities. The mean is found by summing all the products of each value of x and its probability.