Question

find the expected value (μ) of the random variable with the given probability distribution. do not round your answer.

Explanation:

Step1: Multiply each \(x\) by its \(P\)

$$
LATEXBLOCK0
$$

Step2: Sum up the products

$$0 + 0.5+0.64 + 0.54+0.72+0.5$$

$$=(0.5 + 0.64)+(0.54 + 0.72)+0.5$$

$$=1.14+1.26 + 0.5$$

$$=2.4+0.5$$

$$=2.9$$

Answer:

\(2.9\)