Question

Consider the following data:

x 3 4 5 6 7
P(X = x) 0.2 0.2 0.2 0.1 0.3
Find the expected value E(X). Round your answer to one decimal place.

Answer 1

The expected value of a discrete random variable can be calculated by multiplying each value of the random variable by its probability and adding the products. In this case, the expected value of X is 1.1.

Step-by-step explanation:

The expected value/mean of a discrete random variable X can be calculated by multiplying each value of the random variable by its probability and adding the products. In this case, we have the following data:

x
P(X = x)


3
0.2


4
0.2


5
0.2


6
0.1


7
0.3

To find the expected value, we multiply each value of x by its corresponding probability:

E(X) = 3(0.2) + 4(0.2) + 5(0.2) + 6(0.1) + 7(0.3) = 1.1

Therefore, the expected value of X is 1.1.