Probability Distribution of Random variable

The probability distribution of a random variable X is given as follows: Find the value of k.

For what value of k will the function f(x) =kx x=1,2,3 ...., n be a probability distribution of a random variable ?

In each case determine wheather the given values can be looked upon as the values of a probability distribution of a random variable which can take up only the values 1,2,3 and 4 and explain your answer : f(x)=(x+1)/(4) .

In each case determine wheather the given values can be looked upon as the values of a probability distribution of a random variable which can take up only the values 1,2,3 and 4 and explain your answer : f(1)=0.26,f(2)=0.26,f(3)=0.26, f(4)=0.22 .

State which of the following are not the probability distributions of a random variable. Give reasons for your answer.

Let x denote the sum of digits in the random experiement of throwing two balacned dice find the probability distribution of the random variable x

The probability fuction of a random variable is always

The probability distribution P(x) of a random variable X is given by p(X=x)={(K,when x=0),(2K,when x=1),(3K, when x=2),(0,elsewhere):} ,where K is a constant. The value of K is

The probability function of a rondom variable is always