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)`

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)

Find the probability mass function f(x) of the discrete random variable X whose cumulative distribution function F(x) is given by F (x) = {(0,-ooltxlt-2),(0.25,-2lt=xlt-1),(0.60,-1lt=xlt0),(0.90,0lt=xlt1),(1,1lt=xltoo):} Also find (i) P (X lt0 ) and (ii) P (Xgt=-1) .

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)

If the probability mass function f(x) of a random variable X is find (i) its cumulative distribution hence find (ii) P (X lt= 3) and , (iii) P( X gt=2)

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)

The cumulative distrubution function of adiscrete random variable is given by f(x)={{:(0,for-inftyltxlt0),(1/2,for0lexlt1),(3/5,for1lexlt2),(4/5,for2lexlt3),(9/10,for3lexlt4),(1,for4lexltinfty):} P(X le3)

The cumculative distribution function of a discrete random variable is given by F(x)={{:(0, -infty lt x lt -1), (0.15, -1 le x lt 0), (0.35, 0 le x lt 1), (0.60, 1 le x lt 2), (0.85, 2 le x lt 3), (1, 3 le x lt infty):} Find (i) the probability mass function (ii) P(X lt 1) and (iii) P(X ge 2) .