(c) The number of industrial injuries per working week in a particular factory is known to follow a Poisson distribution with mean 2.5. Find the probability that in a particular week there will be: (i) Less than 2 accidents (ii) More than 2 accidents (iii) In a four week period there will be no. accidents to Question 3 (a) Chimbazeze milling company produces bags of mealie meal. The weight in Kgs per bag varies, as indicated in the table below: Weight in Kgs 44 45 46 47 48 49 50 Proportion of bags 0.04 0.13 0.21 0.29 0.20 0.10 0.03 (i) Compute the mean weight per bag. (ii) Compute the standard deviation of the weight per bag iii) The company estimates the cost (in ngwee) of producing a bag of mealie meal to be C =75 + 2X , where X is the number of Kgs per bag. (a) Compute the mean cost of producing a bag of mealie meal. (b) Compute the standard deviation cost of producing a bag of mealie meal. (b) If A and B are mutually exclusive events, P(A) = 0.17 and P(B) = 0.46, find (i) P(AUB) (ii) P(A) (iii) P((AUB)) (iv) P(AUB) (v) P(An B) (vi) P((AUB)) end