Question

Find the expected value E(x) of the following data, rounding the answer to one decimal place: x: 2, 3, 4, 5, 6; P(x = x): 0.1, 0.2, 0.2, 0.2, 0.3.

Answer 1

The expected value of a discrete random variable can be found by multiplying each value of the random variable by its corresponding probability and adding the products.

Step-by-step explanation:

The expected value of a discrete random variable X can be found by multiplying each value of the random variable by its corresponding probability and adding the products. In this case, we can calculate the expected value of X as follows:

E(X) = Σ xP(x) = (2)(0.1) + (3)(0.2) + (4)(0.2) + (5)(0.2) + (6)(0.3) = 0.2 + 0.6 + 0.8 + 1 + 1.8 = 1.1

Therefore, the expected value of X is 1.1.