question_answer 1)

The random variable X has a probability distribution P(X) of the following form, where K is some number.             (a) Find the value of K.       (b)  Find P(X < 2), P(X  2), P(X  2)  

Answer:

(a) Since       Therefore K + 2K + 3 K + 0 = 1             (b) P(X < 2) = P(X = 0) + P(X =1)                         = K + 2K = 3K