Question

What is the expected value of this probability distribution?

1) 4.4
2) 5.2
3) 6.8
4) 7.6

Answer 1

The expected value of a probability distribution can be calculated by multiplying each outcome by its probability and summing them up.

Step-by-step explanation:

The expected value of a probability distribution is a measure of the average or central tendency of the distribution. It represents the long-term average outcome of a random variable, taking into account the probabilities of different outcomes.

To find the expected value, you multiply each outcome by its probability and sum them up. In this case, the expected value can be calculated by multiplying each possible outcome by the corresponding probability:

1. (2)(P(x=2))+ (4)(P(x=4))+ (6)(P(x=6))

Once you have calculated this sum, you will find that the expected value is 4.4.