**Calculate the Mean Value (Expected Value) of the Following Discrete Variable x:** - \( x = 0, 1, 2, 3, 4, 5, 6 \) - \( p(x) = 0.2, 0.2, 0.15, 0.15, 0.15, 0.1, 0.05 \) To find the mean value (expected value) of a discrete random variable, use the formula: \[ E(X) = \sum [x \times p(x)] \] where \( x \) represents the value of the discrete random variable and \( p(x) \) represents the probability of each value. Calculate by multiplying each \( x \) value by its corresponding probability, and then summing these products.

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**Calculate the Mean Value (Expected Value) of the Following Discrete Variable x:**

- \( x = 0, 1, 2, 3, 4, 5, 6 \)

- \( p(x) = 0.2, 0.2, 0.15, 0.15, 0.15, 0.1, 0.05 \)

To find the mean value (expected value) of a discrete random variable, use the formula:

\[
E(X) = \sum [x \times p(x)]
\]

where \( x \) represents the value of the discrete random variable and \( p(x) \) represents the probability of each value. Calculate by multiplying each \( x \) value by its corresponding probability, and then summing these products.
Transcribed Image Text:**Calculate the Mean Value (Expected Value) of the Following Discrete Variable x:** - \( x = 0, 1, 2, 3, 4, 5, 6 \) - \( p(x) = 0.2, 0.2, 0.15, 0.15, 0.15, 0.1, 0.05 \) To find the mean value (expected value) of a discrete random variable, use the formula: \[ E(X) = \sum [x \times p(x)] \] where \( x \) represents the value of the discrete random variable and \( p(x) \) represents the probability of each value. Calculate by multiplying each \( x \) value by its corresponding probability, and then summing these products.
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