Question

jacob is playing a game where he is tossing four dice. the table below shows the theoretical probability distribution for the number of even faces, x, the dice produce with one toss. even faces on dicefind the expected number of even faces jacob will get in one toss. a. 0.0375 b. 2 c. 0.25 d. 2.625

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 into the formula

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$$

Step3: Calculate the sum

\(0.25+0.75 + 0.75+0.25=2\)

Answer:

B. 2