A random variable `X` can take all non-negative integral values and the probabililty that `X` takes the value `r` is proportional to `alpha^r(0

If a random variable X can take all non- negative integral values and the probability that X takes the value r is proportional to alpha^(r)(0 lt alpha lt 1) then P(X = 0) is ………..

A random variable X cantake all nonnegative integral valuesand the probabililty that X takes the value r isproportionalto alpha^r (0 < alpha <1 )dot Find P(X=0)dot

The speed of the particle, that can take discrete values is proportional to

A discrete random variable X can take all possible integer values from 1 to K each with a probability (1)/(K) Its variance is

Random variable X takes integer values from 1 to n with equal probabilities then E(X) = ………..

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,........ with probability proportional to (x with proba bility proportional to (x+1)((1)/(5))^(x), then 5*[P(x<=1)^((1)/(2))] equals

Mean and variance of random variable X are 2 and 1 respectively. Then ……….. is the probability that X takes more than one value.