Final answer:
To find the mean of a probability distribution, multiply each value by its corresponding probability and sum up all the products.
Step-by-step explanation:
To find the mean of a probability distribution, you need to multiply each value by its corresponding probability and sum up all the products. Let's denote the values as xi and their probabilities as pi. The mean, denoted as μ, can be calculated as:
μ = Σ(xi * pi)
For example, if we have the following probability distribution:
xipi30.240.350.5
The mean can be calculated as:
μ = (3 * 0.2) + (4 * 0.3) + (5 * 0.5) = 4
Rounding this value to one decimal place, the mean of this probability distribution is 4.0.