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.

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.

WEEK #2 DATA

Vehicle Year Make Model Sub Model Price MPG/CityMPG/HwyDrive type HP TORQUE Weight Truck 2022 RAM 1500 TRX 91.000 9 12 F4WD 702 650 6,439 Ibs Truck 2023 Ford F150 Raptor R. 96,000 12 17 4WD 700 645 6,050 Ibs CAR 2023 Chevrolet Corvette 3LT 76.000 15 27 RWD 670 460 3.366 Ibs CAR 2022 Honda Civic Type R. 37.950 22 28 FWD 306 295 3,121 Ibs CAR 2022 Toyota Supra GR. 55.650 21 31 RWD 340 500 2,868 Ibs SUV 2022 Ford Bronco Raptor 68.500 15 16 4WD 418 440 5,733 Ibs SUV 2022 LandrRov RangRov Sport 183.100 14 19 AWD 575 516 5,448 Ibs SUV 2022 Jeep Grand Wagoneer 109,435 13 18 RWD 392 404 6,420 Ibs CAR 2022 Dodge SRT Hellcat 89.190 12 21 RWD 797 707 5,450 Ibs CAR 2022 Nissan GIR Nismo 220,000 16 22 AWD 600 481 3,865 Ibs Mean: 102682.5 Meadian: 90,095 SD: 56688.14 Sample Size 10