The next 3 questions use the following information. Show as…
The next 3 questions use the following information. Show as much work as possible.Your company contracts with two vendors for new IT projects. 70% of new projects are awarded to vendor A, while 30% of new projects go to vendor B. Past experience shows that 20% of vendor A’s projects come in “over budget” (assume the rest are “within budget”). Conversely, only 10% of vendor B’s projects are “over budget.”Though it will not be graded, please draw a tree (on your scratch paper) describing the probabilities described above. Using the tree will make the next 3 questions much easier. Question: What is the probability a random project will be awarded to company A and be “over budget”?