(I have attached my week 3 discussion for reference)

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 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

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).

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.

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

Hello Class and Professor. Q1: 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. A1: The probability of finding exactly 4 cars below the average is 0.242279. This means that there is a 24.2279% chance that 4 cars out of a random sample of 10 cars will fall below the average. Q2: 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. A2: The probability of finding fewer than 5 cars below the average is 0.590551. This means that there is a 59.0551% chance that fewer than 5 cars out of a random sample of 10 cars will fall below the average. Q3: 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. A3: The probability of finding more than 6 cars below the average is 0.134821. This means that there is a 13.4821% chance that more than 6 cars out of a random sample of 10 cars will fall below the average. Q4: 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. A4: The probability of finding at least 4 cars below the average is 0.922963. This means that there is a 92.2963% chance that at least 4 cars out of a random sample of 10 cars will fall below the average. In conclusion, based on the data provided, there is a 24.2279% chance that exactly 4 cars out of a random sample of 10 cars will fall below the average, a 59.0551% chance that fewer than 5 cars out of a random sample of 10 cars will fall below the average, a 13.4821% chance that more than 6 cars out of a random sample of 10 cars will fall below the average, and 3 92.2963% chance that at least 4 cars out of a random sample of 10 cars will fall below the average