Recall the car data set you identified in Week 2. We know that this data set is normally distributed using the mean and SD you calculated.(Be sure you use the numbers without the supercar outlier)

For the next 4 cars that are sampled, what is the probability that the price will beless than$500 dollars below the mean?Make sure you interpret your results.

Please note: we are given a new sample size, we will need to calculate a new SD.Then, to find the value that is $500 below the mean you will need to take the mean and subtract $500 from it.For example, if the mean is $15,000 then $500 below this would be $14,500.Thus the probability you would want to find is P(x < 14,500).

For the next 4 cars that are sampled, what is the probability that the price will behigher than$1000 dollars above the mean?Make sure you interpret your results.Use the same logic as above.If your mean is $15,000 then $1,000 above is 15,000 + 1,000 = $16,000.Thus the probability you would want to find is P(x > 16,000).

For the next 4 cars that are sampled, what is the probability that the price will beequalto the mean?Make sure you interpret your results.Use the same logic as above.

For the next 4 cars that are sampled, what is the probability that the price will be $1500withinthe mean?Make sure you interpret your results.Use the same logic as above.

I encourage you to review theWeek 4normal probabilities PDFat the bottom of the discussion.This will give you a step by step example to follow and show you how to find probabilities using Excel.I also encourage you to review theWeek 4 Empirical Rule PDF.This will give you a better understanding on how to utilize the empirical rule.You can also use this PDF in the Quizzes section.

There are additional PDFs that were created to help you with the Homework, Lessons and Tests in Quizzes section.While they won't be used to answer the questions in the discussion, they are just as useful and beneficial.I encourage you to review these ASAP!These PDFs are also located at the bottom of the discussion.

Once you have posted your initial discussion, you must reply to at least two other learner's post. Each post must be a different topic. So, you will have your initial post from one topic, your first follow-up post from a different topic, and your second follow-up post from one of the other topics. Of course, you are more than welcome to respond to more than two learners."