Consider the random variable X with probability mass function P_{X}(k)=\left\{\begin{array}{cc} \frac{(3 k+2)}{26} & \text { for } k=0,1,2,3 \\ 0 & \text { otherwise } \end{array}\right. What is the mean E[X]? What is the variance Var(X)? What is P[X < 2]? Calculate P[X > 0|X < 2].

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