MATH302 Week 4 Discussion; The normal distribution I and II
- $15.00
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)
1-For the next 4 cars that are sampled, what is the probability that the price will be less 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).
2-For the next 4 cars that are sampled, what is the probability that the price will be higher 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).
3-For the next 4 cars that are sampled, what is the probability that the price will be equal to the mean? Make sure you interpret your results. Use the same logic as above.
4-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.
Instructions: You must respond to at least 2 other students. Responses may include direct questions.
In your peer posts, compare the probabilities that you found with those of your classmates. Were they higher/lower and why? In your responses, refer to the specific data from your classmates' posts. Make sure you include your data set in your initial post as well.
