Consider a random variable XX with support X=(2,7,13,21}X=(2,7,13,21). Suppose that it has the following pmf: fx(2)=0.5fx(7)=0.25fX(13)=0.15fX(21)=??fX(2)=0.5fX(7)=0.25fX(13)=0.15fX(21)=??...

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Consider a random variable XX with support X=(2,7,13,21}X=(2,7,13,21). Suppose that it has the following pmf: fx(2)=0.5fx(7)=0.25fX(13)=0.15fX(21)=??fX(2)=0.5fX(7)=0.25fX(13)=0.15fX(21)=?? What is fX(21)fX(21)? How do you know? What is the expected value of XX? [Show your calculation.] What is the variance of XX? [Show your calculation.] Calculate FX(X)FX(x) for x=1x=1, x=7x=7, x=8x=8, and x=25x=25. Consider a random variable XX with support X=(2,7,13,21}X=(2,7,13,21). Suppose that it has the following pmf: fx(2)=0.5fx(7)=0.25fX(13)=0.15fX(21)=??fX(2)=0.5fX(7)=0.25fX(13)=0.15fX(21)=?? What is fX(21)fX(21)? How do you know? What is the expected value of XX? [Show your calculation.] What is the variance of XX? [Show your calculation.] Calculate FX(X)FX(x) for x=1x=1, x=7x=7, x=8x=8, and x=25x=25.