[" If the "c.d.f" .(cumulative distribution function) "],[" is given by "f(x)=(x-25)/(10)," then "],[P(27<=x<=33)=]

The function f:RtoR given by f(x)=|x|

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 F(x) is the probability distribution function, then F(infty) is

If F(x) is the probability distribution function then F(-infty) is

let x be a random variable with cumulative distribution function F(x)=x^2, 0ltxlt1 then, p(1/2ltxlt3/4)=?

If X is the random variable with distribution function F(x) given by , F(x) = {(o,xlt0),(x,0lt=xlt1),(1,1lt=x):} then find (i) the probability density function f(x) (ii) P(0.2lt=Xlt=0.7) .

The following is the p.d.g. (Probability Density Function) of a continuous random varible X: f(x)=(x)/(32), 0ltxlt8 =0, otherwise (a) Find following the expression for c.d.f. (Cumulative Distribution Function) of X. (b) Also find its value at x=0.5 and 9.

For the following distribution function F(x) of a r.v. X P(3 lt X le 5)=