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f(x)= 0 if x < -1 1/2 if -1<=x<2 2/3 if 2<=x<4 1 if 4<=x be...

f(x)= 0 if x < -1

1/2 if -1<=x<2

2/3 if 2<=x<4

1 if 4<=x

be the distribution function of a random variable X. Find the variance of X. if it is possible can you please show every single step. thank you

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