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The probability distribution for a random variable is approximately shown from the table below. From the table, find the lower bound of the standard deviation

The probability distribution for a random variable is approximately shown from the table below. From the table, find the lower bound of the standard deviation of the random variable. (Note: the weighted mean is E (X)).

X 1 2 3 4 > 5
p 0.1 0.2 0.3 0.1 0.3

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