1. Determine the mean, variance, and standard deviations. Incentives ( x] | 0 2 4 5 Increase in Production PIX=x [ x) 3 4 12 20 P(X=x) 5 10 20 PIX=x 503% 126 [ z) 2 4 5 P(Z=Z] 0.6 0.1 0.2 0.1 [z) 1 3 5 7 P(Z=Z] 40% 25% 15% 20% 2. The probabilities of a machine manufacturing 0,1,2,3,4, and 5 de- fective parts in one day are 0.75, 0.17, 0.04, 0.025, 0.01, and 0.005 respectively. Find the mean of the probability distribution. 3. You can determine me by taking the square root of a variance? What am