Question: The discrete random variable X can possess three different values: x=3, x=5 and x3; with corresponding probabilities P=0.6, p=0.3 and p3. Find x3 and p3

The discrete random variable X can possess three different values: x₁=3, x₂=5 and x3; 

with corresponding probabilities P₁=0.6, p₂=0.3 and p3. 

Find x3 and p3 if E(X)=6.

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