The probability distribution of a random variable X is given by.
`{:(X=x:,0,1,2,3,4),(P(X=x):,0.4,0.3,0.1,0.1,0.1):}`
The variance of X, is

The probability distribution of a random variable X is given below: {:(X=x,0,1,2,3),(P(X=x),(1)/(10),(2)/(10),(3)/(10),(4)/(10)):} Then the variance of X is

A random variable X has the following distribution {:(x:,1,2,3,4),(P(X=x):,0.1,0.2,0.3,0.4):} Then its mean is

X is a random variable with distribution given below {:(x:,0,1,2,3),(P(X=x):,k,3k,3k,k):} The value of k and its variance are

X is a random variable with distribution given below {:(x:,0,1,2,3),(P(X=x):,k,3k,3k,k):} The value of k and its variance are

If X is a random -variable with distribution given below : {:(x:,0,1,2,3),(p(x):,k,3k,3k,k):} The value of k and its variance are

Determine which of the following can be probability distributions of a random variable X:X:01234P(X):0.10.50.2-0.10.3

A random variable X has the following distribution {:(x,:-3,-2,-1,0,1,2,3),(P(X=x):,0.05,0.1,0.3,0,0.3,0.15,0.1):} The mean and variance are

Determine which of the following can be probability distributions of a random variable X: (i) X: 0 1 2 (ii) X: 0 1 2 P(X): 0.4 0.4 0.2 P(X): 0.6 0.1 0.2 (iii) X: 0 1 2 3 4 P(X): 0.1 0.5 0.2 -0.1 0.3

The pobability distribution of a discrete random variable X is given below. If E(X^(2))=Sigma x^(2)P(X=x) , then 6E(X^(2))-Var(X)= {:(X=x,-1,0,1,2,),(P(X=x),1/3,1/6,1/6,1/3,):}