Topic: Probability and counting rules; Discrete probability distributions

Recall the car data set you identified in Week 2. You will want to calculate the average for your data set. (Be sure you use the numbers without the supercar outlier) Once you have the average count how many of your data points fall below the average. You will take that number and divide it by 10. This will be your p or "success" in your problem. Once you have p, calculate q.

If you were to find another random sample of 10 cars based on the same data, what is the probability that exactly 4 of them will fall below the average? Make sure you interpret your results.

If you were to find another random sample of 10 cars based on the same data, what is the probability that fewer than 5 of them will fall below the average? Make sure you interpret your results.

If you were to find another random sample of 10 cars based on the same data, what is the probability that more than 6 of them will fall below the average? Make sure you interpret your results.

If you were to find another random sample of 10 cars based on the same data, what is the probability that at least 4 of them will fall below the average? Make sure you interpret your results.

I encourage you to review the Week 3 Binomial probabilities PDF at the bottom of the forum. This will give you a step by step example to follow and show you how to find probabilities using Excel. You can also use this PDF in RealizeIT.

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.

Vehicle type/class Year Make Model Price MPG (city) MPG (highway) Cylinder Vehicle type/class Year Make Model Price MPG (city) MPG (highway) Cylinder Suv 2018 Chevrolet Equinox LT 19988 26 32 4 Suv 2018 Chevrolet Equinox LT 19988 26 32 4 Suv 2022 Mercedes-Benz GLC 66500 22 29 4 Suv 2022 Mercedes-Benz GLC 66500 22 29 4 Suv 2022 Volvo XC60 69500 57 27 6 Suv 2022 Volvo XC60 69500 57 27 6 Suv 2022 Hyundai Tucson 36800 26 33 6 Suv 2022 Hyundai Tucson 36800 26 33 6 Suv 2022 Honda CR-V 36200 27 34 6 Suv 2022 Honda CR-V 36200 27 34 6 Suv 2021 Chevrolet Trax LT 18880 24 30 6 Suv 2021 Chevrolet Trax LT 18880 24 30 6 Suv 2021 Hyundai Kona SE 18388 27 33 6 Suv 2021 Hyundai Kona SE 18388 27 33 6 Suv 2018 Buick Encore Preferred 17988 25 33 6 Suv 2018 Buick Encore Preferred 17988 25 33 6 Suv 2017 Nissan Rogue S 15935 26 33 4 Suv 2017 Nissan Rogue S 15935 26 33 4 Suv 2016 Chevrolet Equinox LT 14828 22 32 4 Suv 2016 Chevrolet Equinox LT 14828 22 32 4 Mean 31500.7 Mean 31500.7 Median 19434 Median 19434 Standard Deviation 20778.44512 Standard Deviation 20778.44512 Sample Size 10 Sample Size 10 Probability