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Statistics I20765 marksNumerical: discrete probability distributionMathematical expectation of a random variable

The random variable X has the following probability distribution.

The random variable $X$ has the following probability distribution.

$$\begin{array}{|c|ccccccc|}\hline X & 0 & 1 & 2 & 3 & 4 & 5 & 6 \ P(X=x) & 0.03 & 0.15 & 0.4 & 0.2 & 0.1 & 0.07 & 0.05 \ \hline \end{array}$$

[5]

X 0 1 2 3 4 5 6 ------------------------ P(X=x) 0.03 0.15 0.40 0.20 0.10 0.07 0.05 The question statement does not specify what to compute. Standard interpretation for a 5-mark problem: verify validity, then find mean, variance, and standard deviation. --- $$\sum P(X=x) = 0.03 + 0.15 + 0.40 + 0.2...

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