The table below indicates color and size of a bowl of 100 ma…

The table below indicates color and size of a bowl of 100 marbles.  Color Small Large   Blue 30 10 40 Green 9 8 17 Red 15 5 20 Yellow 10 13 23 Total 64 36 100 total   Question: You select 3 marbles (without replacement) from the bowl. What is the probability you will end up with a blue marble, and a red marble, and then another blue marble? Show at least 2 non-zero digits after the decimal. Show as much work as possible.  

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”?

The next 2 questions use the following information. Show as…

The next 2 questions use the following information. Show as much work as possible. Suppose an internet service provider suffers internet outages at an average rate of 4 per month. Question:  What is the probability the company will have 3 outages in the next month?    

You plan to conduct an experiment regarding color preference…

You plan to conduct an experiment regarding color preferences. Further, suppose 22% of college students prefer black cars. If you randomly select 20 college students and ask them what color car they drive, would this be a binomial experiment? Briefly explain why it would or would meet the binomial requirements.