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 the value of K.
(b) Find `P(X lt 2)`.

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,","," x=2 "),(0,",","otherwise"):} a. Determine the value of k b. Find P(X lt 2), IP(X le 2), P(X gt 2) .

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",","if","otherwise"):} (a) Determine the value of k. (b) Find P(X lt 2),P(X le2),P(X ge2)

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"):} Determine the value of k

A random variable 'X' has a probability distribution P(X) of the following form (K is constant): Find K.

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)

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"):} Find P(X lt 2),P(Xle2) and P(X ge2)

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