The value of C for which `P(X=k) = Ck` can serve the probability function of a random variable X that takes values 0,1,2,3,4 is

The value of C for which P(X=k)=Ck^2 can serve as the probability function of a random varibale X that takes value 0,1,2,3,4, is

The probability distribution of a random variable X is given as Then, the value of p is

If the probability density function of a random variable X is given as then F(0) is equal to

The probability of a random variable X is given below Determine the value of k

The probability distribution of the random variable X is given by Then, the value of V(X) is equal to

If the probability mass function of a discrete random variable X is P(x)=C/(x^3), x=1,2,3 =0, otherwise Then E(X)=

The probability distribution of a discrete random variable X is given below The value of k is

If f(x)= kx, 0 lt x lt 2 = 0 otherwise, is a probability density function of a random variable X , then find (i) value of k, (ii) P(1 lt x lt2).