A random variable X takes values 1,2,3 and 4 with probabilities `(1)/(6),(1)/(3),(1)/(3),(1)/(6)` respectively, then its mean and variance is equal to

A random variable X takes values -1,0,1,2 with probabilities 1+2p(1+3p)/(4),(1-p)/(4),(1+2p)/(4),(-14p)/(4) respectively, where p varies over R. Then the minimum and maximum values of the mean of X are respectively

A random variable X takes values -1,0,1,2 with probabilities (1+3p)/4,(1-p)/4,(1+2p)/4,(-14p)/4 respectively, where p varies over R. Then the minimum and maximum values of the mean of X are respectively

If X be a random variable taking values x_(1),x_(2),x_(3),….,x_(n) with probabilities P_(1),P_(2),P_(3) ,….. P_(n) , respectively. Then, Var (x) is equal to …….. .

If X be a random variable taking values x_(1),x_(2),x_(3),….,x_(n) with probabilities P_(1),P_(2),P_(3) ,….. P_(n) , respectively. Then, Var (x) is equal to …….. .

X is a random variable taking the values 3,4 and 12 with probabilites 1/3,1/4 and 5/12 then E(x) is

A random variable X takes values 0, 1, 2, 3,… with probability proportional to (x+1)((1)/(5))^x . P(Xge2) equals

A random variable X takes values 0, 1, 2, 3,… with probability proportional to (x+1)((1)/(5))^x . P(Xge2) equals

A random variable X takes values 0, 1, 2, 3,… with probability proportional to (x+1)((1)/(5))^x . P(Xge2) equals

A random variable X takes values 0, 1, 2, 3,… with probability proportional to (x+1)((1)/(5))^x . P(Xge2) equals

A random variable X takes values 0, 1, 2, 3,… with probability proportional to (x+1)((1)/(5))^x . P(Xge2) equals