Question

the table below shows the probability distribution of a random variable z.

what is the expected value of z?

write your answer as a decimal.

Explanation:

Step1: Recall the formula for expected value

The formula for the expected value \( E(Z)\) of a discrete random variable is \( E(Z)=\sum_{i}z_iP(z_i)\)

Step2: Substitute the values from the table into the formula

$$
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$$

Step3: Calculate the sum

\(E(Z)=0.4 + 0.6+0.9=1.9\)

Answer:

\(1.9\)