If Y is a discrete random variable with possible values of 1, 2, and 4, and the probability mass function is given by P(Y = 1) = 0.2, P(Y = 2) = 0.5, and P(Y = 4) = 0.3, what is the variance of Y?

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If Y is a discrete random variable with possible values of 1, 2, and 4, and the probability mass function is given by P(Y = 1) = 0.2, P(Y = 2) = 0.5, and P(Y = 4) = 0.3, what is the variance of Y?
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Given:

Y is a discrete random variable with possible values of 1, 2, and 4.

The probability mass function is given by P(Y = 1)=0.2, P(Y = 2)=0.5, and P(Y = 4)=0.3.

The objective is to find the variance of Y.

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