Question

find the expected value, round to 3 decimal places.

Explanation:

Step1: Recall the formula for expected value

The formula for the expected value \( E(X) \) of a discrete random variable is \( E(X)=\sum_{i}x_{i}P(x_{i}) \).

Step2: Substitute the values from the table

Here, \( x_1 = 0\), \(P(x_1)=0.5\); \(x_2 = 1\), \(P(x_2)=0.2\); \(x_3 = 2\), \(P(x_3)=0.2\).

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Answer:

\(0.6\)