Answer:
The mean μ for the given probability distribution is 19.2
Explanation:
When you have a probability distribution, the concept of mean is defined by the following equation:
μ = x1·P(x1) + x2·P(x2) + ....... + xn·P(xn). It means that you have to multiple each "x" value for its probability and then sum all of them. In this case
μ= 10·(0.534) + 20·(0.193) + 30·(0.140) + 40·(0,085) + 50·(0.048)
⇒ μ = 19.2.
The mean μ for the given probability of distribution is 19.2