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The formula to calculate the variance of random variables with given fixed probabilities is Var(x)=1*P(x=1)+0*P(x=0).... For example, Var(x)= 1* 0.8+0*0.2=0.8. Now we change the given

The formula to calculate the variance of random variables with given fixed probabilities is Var(x)=1*P(x=1)+0*P(x=0).... For example, Var(x)= 1* 0.8+0*0.2=0.8.

Now we change the given fixed probabilities to be uniform distribution. For example, change P(x=1)=U(0.7,0.9) and P(x=0)=U(0.1,0.3). What is the variance now?

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