The pie chart below summarizes the sources of energy in the…

The pie chart below summarizes the sources of energy in the United States and their corresponding percentages:  How many variables are summarized in this pie chart? What percentage of the sources of energy in the United States are from either Renewable Energy or Nuclear? What percentage of the sources of energy in the United States are other than Coal? If 1000 sources of energy were randomly chosen, what is the expected number from Petroleum?

The time it takes a student to walk from one end of the camp…

The time it takes a student to walk from one end of the campus to the other is normally distributed with a mean of 27.9 minutes and a standard deviation of 3.6 minutes. What is the probability that the time it takes a student to walk across campus is greater than 30?

Please note that this question consists of three parts. Show…

Please note that this question consists of three parts. Show all your work/explanation. Just giving the answer without adequate work/explanation may result in zero for the question.  A used car dealership posts cars for sale on their website. 85% of the cars have automatic transmission, 20% are all-wheel drive, and 15% have both features. A car is randomly chosen from this website.  Are having these two features (automatic transmission and all-wheel drive), mutually exclusive? Explain using the appropriate probability(ies).  What is the probability that it has neither of these features? If a car has automatic transmission, what is the probability that it is an all-wheel drive?