From a lot of 20 items containing 4 defective items, 2 items are drawn at random. If X denotes the number of defective items, then find the mean of the probability distribution of X .

Step-by-step solution

X can take values 0,1,2 . The probability distribution of X . Since there are 16 items are perfeci and 4 are defective. Given that two items are drawn randomly. P( no defective items are drawn )= 16 2 20 2 array lll X=x & 0 & 1 P(X=x) & 16 2 20 2 = 12 19 1 1 16 1 20 2 = 32 95 & 4 2 20 2 = 3 95 array