[" 19.The random variable "X" has a probability distribution "P(X)" of the following form,where "k],[" 19.some number: "],[" is some number: "],[[" k,if "X=1],[" 2k,if "X=1],[" 3k,if "X=2],[" (a) Determine the value of "k],[" (b) Find "P(X<2),P(X<=2),P(X>=2)]]

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 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), 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"):} (a) Determine the value of 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 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)

A random variable X has the following probability distribution 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)