Question

find the expected value for the random variable x having the probability function shown in the graph.

e(x)=□ (simplify your answer. type an integer or a decimal.)

Explanation:

Step1: Identify the values of \(x\) and \(P(x)\)

From the graph:

• When \(x = 8\), \(P(x)=0.05\)
• When \(x = 16\), \(P(x)=0.15\)
• When \(x = 24\), \(P(x)=0.6\)
• When \(x = 32\), \(P(x)=0.15\)
• When \(x = 40\), \(P(x)=0.05\)

Step2: Use the formula for expected value \(E(x)=\sum_{i}x_{i}P(x_{i})\)

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Step3: Calculate the sum

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Answer:

\(24\)