Find the probability mass function and the cumulative distribution function for getting 3 s when two dice are thrown.

Find the probability mass function and cumculative distribution function of number of girl child in families with 4 children, assuming equal probabilities for boys and girls.

A six die is marked 1 on one face 3 on two of its faces and 5 on remaining three faces. The die is thrown twice. If X denotes the total score in two throws find (i) the probability mass function (ii) the cumulative distribution function (iii) P(4 lt= X lt 10) (iv) P(X gt=6)

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) .

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 probability of getting more than 7 when two dice are rolled.

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)

Find the probability distribution of the doublets in two throws of a pair of dice.