The random variable X has a probability distribution P(X) of the following form, where k is some number : P(X) = `{(k ,if x=0) , (2k ,if x=1), (3k ,if x=2), (0 otherwise)` (a) Determine k. (b) Find P `( X lt 2)` , P `( X le 2)` , P` (X ge 2 )`

The random variable X has a probability distribution P(X) of the following form, where k is some arbitary real number: P(X=x)={{:(k",","if "x=0), (2k",","if "x=1), (3k",","if "x=2), (0",", otherwise):} (i) Determine the value of k " " (ii) Find P(X lt 2), P(X le 2), P(X ge 2)

If X is a random variable with probability distribution P(X=k)=((k+1)C)/(2^(k)),K=0,1,2,…. then find C.

A random variable X has the following distribution . The value of k and P ( X lt 4) are equal to

A random variable X has the following probability distribution: Determine : (i) k (ii) P(Xlt3) (iii) P(Xgt6) (iv) P(0ltXlt3)

If a random variable X has a Poisson distribution such that P(X=1)=P(X=2) then I: its mean is 2 II: its variance is 1

The probability distribution for a random variable X is as follows: Find: (i) k (ii) P(X 6) (iv) P(0X<3)

The probability distribution of a random variable X is given as under: Find k , and P (X lt 6) .

A random variable X has the following probability distribution: X :\ -2\ -1\ \ 0\ 1\ 2\ 3 \ P(X): 0.1\ k\ \ 0. 2\ \ 2k\ 0. 3\ \k , find value of k

In a Poisson distribution if P(X=0)=P(X=1)=k , the value of k is

Let X denote the number of hours you study during a randomly selected school day. The probability that X take the values of x has the following form, where k is some unknown constant. P(X=x)={(0.1 "if" x=0),(kx, "if" x=1 "or"2),(k(5-x),"if"x=3"or"4),(0,"otherwise"):} Find: (i) k (ii) the probability that you study exactly two hours, (iii) the probability that you study at most two hours.