Calculate the Expected Value of X for the Given Probability $$\begin{array} { c c c c c c c } x & - 20 & - 10 & 0 & 10 & 20 & 30 \\P ( X = x ) & 0.1 & 0.1 & 0.1 & 0.1 & 0.1 & 0.5\end{array}$$

question 66

Multiple Choice

Calculate the expected value of X for the given probability distribution: $$\begin{array} { c c c c c c c } x & - 20 & - 10 & 0 & 10 & 20 & 30 \\P ( X = x ) & 0.1 & 0.1 & 0.1 & 0.1 & 0.1 & 0.5\end{array}$$ Round your answer to two decimal places if necessary.

• A) \(E ( X ) = 14.79\)
• B) \(E ( X ) = 14.87\)
• C) \(E ( X ) = 14\)
• D) \(E ( X ) = 15.1\)
• E) \(E ( X ) = 15\)

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Definitions:

Tracking Method

A systematic approach or technique used to monitor, record, and evaluate progress or changes over time.

Food Behavior

The eating actions or habits of an individual or group, including what, how, why, and when food is consumed.

Self-Monitoring

The practice of systematically observing and recording one's own behaviors, thoughts, or emotions to improve self-awareness and achieve personal goals.

Sustaining Changes

Maintaining the improvements or modifications made over an extended period.