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If X is the random varibale with distri...

If X is the random varibale with distribution function F(x) given by
`F(x)={{:(0,-inftyltxlt0),(3/2(x-(x^(3))/(3)),0lexlt1),(1,3lexltinfty):}`
Find `P(0.3 lt x lt 0.5)`

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If X is the random varibale with distribution function F(x) given by F(x)={{:(0,-inftyltxlt0),(3/2(x-(x^(3))/(3)),0lexlt1),(1,3lexltinfty):} Find probability density function f(x)

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Find the rpobability mass function f(x) of the discrete random variable X whose cumulative distribution function f(x) is given by {{:(0,-inftylt x lt -2),(0.3,-2lexlt-1),(0.45,-1lexlt0),(0.7,0lexlt1),(1,1lexltinfty):} Also find P(x lt 0)

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Find the rpobability mass function f(x) of the discrete random variable X whose cumulative distribution function f(x) is given by {{:(0,-inftylt x lt -2),(0.3,-2lexlt-1),(0.45,-1lexlt0),(0.7,0lexlt1),(1,1lexltinfty):} P(X ge -1)

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