3. Before a particular product from an assembly line is sent for packaging. Bala, a quality control officer needs to ensure that there are no defects from each production run. Based on his past experiences, he found the probability for the number of defects per assembly line is shown as follows: Number of Defects Probability 4 0.20 5 0.32 6 0.22 0.15 8 0.11General probability distribution: Mean or expected value u = E(X) = EX . P(X) Variance 0 = E ( X-/). P(X) Standard deviation o = Vo2 Binomial Distribution: Mean u = n. p Variance 62 = n .p. q Standard deviation = n. p. q X n-X Probability P(X) = "cr.p q for OSX Sn Poisson Distribution: var(x) = ProbabilityP (x) = - x ! for x = 0, 1, 2, 3 ... ... Normal Distribution Probability z =