The Crystal Window Company makes windows at three locations: Adelaide, Perth, and Cairns. Some windo

 
   

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The Crystal Window Company makes windows at three locations: Adelaide, Perth, and Cairns. Some windows made by the company contain a visible defect and must be replaced. The Adelaide plant makes 40 precent of all windows while the Perth and Cairns plants split the remaining production evenly. A recent quality study shows that 8 precent of the Adelaide windows contain a defect, 11 precent of the Perth windows contain a defect, while 4 precent of the windows made in Cairns have a defect. Once the windows are made, they are shipped to a central warehouse where they are co-mingled and the location where they were made is lost. Based on this information calculate the probability of a window made by this company being defective.