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.

Vehicle type/class	Year	Make	Model	Price	MPGe (city)	MPGe (highway)	0-60 mph Acceleration Time (Second)
Electric / SUV	2022	Ford	Mustang Mach-E	$43,895.00	96	84	3.7
Electric / Sedan	2022	Tesla	3	$46,990.00	134	126	3.1
Electric / SUV	2022	Tesla	Y	$65,990.00	131	117	3.6
Electric / Truck	2022	Ford	F-150 Lightning	$67,500.00	78	63	4.0
Electric / Truck	2022	Rivian	R1T	$67,500.00	74	66	3.3
Electric / SUV	2022	BMW	iX	$84,100.00	86	86	3.3
Electric / Sedan	2022	Mercedes-Benz	EQS	$103,000.00	97	97	3.4
Electric / Sedan	2022	Tesla	S	$104,990.00	110	103	2.0
Electric / Sedan	2022	Lucid Air		$108,500.00	120	120	2.6
Electric / SUV	2022	Tesla	X	$120,990.00	109	101	2.5