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 number P(X)={:(k, if X=0),(2k,if X=1),(3k,if X=2),(0,"otherwise"):} Determine the value of 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,"otherwise"):} Find P(X lt 2),P(Xle2) and P(X ge2)