6. The following probability distribution gives the number of defective products produced by a business per day (X) and the probability (P(X)). X 0 2 P(X) .55 .25 .15 .05 a) Find the mean using the formula u = Ex - P(x). M = 0(. 55) + 1 (. 25 ) + 2(. 15) + 3(.05) = 0.7 M = 0.7 b) Find the variance using the formula ? = [x? . p(x) - /? 02 = 02 (. 55 ) + 2 (. 25) 23 (. 15)+ 32 (, 05 ) = 1.3 02 = 1.3