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Given that the cdf of a discrete random variable Y is F ( y ) = 0 , 4 1 , 2 1 , 4 3 , 1 , y < 1 1 y < 3
3 y < 5 5 y < 7 7 y i) Find the pmf of Y . ii) Find P ( Y > 3 ) and P ( 1.4 < Y < 6 ) . iii) Find the
population mean and the variance of Y .

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  • 1. Given that the cdf of a discrete random variable Y is F ( y ) = 0 , 4 1 , 2 1 , 4 3 , 1 , y < 1 1 y < 3 3 y < 5 5 y < 7 7 y i) Find the pmf of Y . ii) Find P ( Y > 3 ) and P ( 1.4 < Y < 6 ) . iii) Find the population mean and the variance of Y .