Question

The probability distribution of random variable X is given by :

X	1	2	3	4	5
P(X)	K	2K	2K	3K	K

 Let p = P(1 < X < 4 | X < 3). If 5p = λK, then λ equal to ________.

Answer 1

∑P(X) = 1

⇒ k + 2k + 2k+ 3k + k = 1

⇒ k = \(\frac{1}{9}\)