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 < 14,500).

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	Year	Make	Model	Sub Model	Price	MPG/City	MPG/Hwy	Drive type	HP	TORQUE	Weight
Truck	2022	RAM	1500	TRX	91,000	9	12	F4WD	702	650	6,439 lbs
Truck	2023	Ford	F150	Raptor R	96,000	12	17	4WD	700	645	6,050 lbs
CAR	2023	Chevrolet	Corvette	3LT	76,000	15	27	RWD	670	460	3,366 lbs
CAR	2022	Honda	Civic	Type R	37,950	22	28	FWD	306	295	3,121 lbs
CAR	2022	Toyota	Supra	GR	55,650	21	31	RWD	340	500	2,868 lbs
SUV	2022	Ford	Bronco	Raptor	68,500	15	16	4WD	418	440	5,733 lbs
SUV	2022	LandrRov	RangRov	Sport	183,100	14	19	AWD	575	516	5,448 lbs
SUV	2022	Jeep	Grand	Wagoneer	109,435	13	18	RWD	392	404	6,420 lbs
CAR	2022	Dodge	SRT	Hellcat	89,190	12	21	RWD	797	707	5,450 lbs
CAR	2022	Nissan	GTR	Nismo	220,000	16	22	AWD	600	481	3,865 lbs
				Mean:	102682.5
				Meadian:	90,095
				SD:	56688.14
				Sample Size	10