Home
Class 12
MATHS
A random variable X takes the values 0,1...

A random variable `X` takes the values `0,1,2,3,...,` with probability `P(X=x)=k(x+1)((1)/(5))^x`, where k is a constant, then `P(X=0)` is.

A

`(2)/(25)`

B

`(4)/(25)`

C

`(9)/(25)`

D

`(16)/(25)`

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

The random variable X can take only the values 0, 1, 2. Given that P(X = 0) = P(X = 1) = p and that E(X^(2)) = E(X) , find the value of p.

A random variable X has the following probability distribution : then P(X le 1) = ….......

Let 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) = ………..

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 ………..

The probability distribution of a random variable X is given as under : P(X=x)={(kx^(2)",",x="1, 2, 3"),(2kx",",x="4,5,6"),(0"", "Otherwise"):} where k is a constant. Calculate (i) E(X), (ii) E(3X^(2)) and (iii) P(x ge 4) .

Let g(x)=sqrt(x-2k), AA 2k le x lt 2(k+1) where, k in l , then