1. Refer to the National Highway Traffic Safety Administration (NHTSA) crash tests of new car Models. Recall that the NHTSA developed a driver-side "star" scoring system, with results rangingfromone star(*)tofive stars (*****).The more stars in the rating, the betterthelevelof crash protectionin a head-on collision. Supposethat acaris selected fromthe data anditsdriver- side star rating is determined. Let x equal the number of stars in the rating. A summary of the driver-sidestarratingsforthe98carsinthefileisreproducedinthe followingtable.Assumethat oneofthe98carsisselectedatrandomandletxequalthenumber ofstarsinthecar'sdriver-side star rating.

Tally
DRIVSTAR	Count	Percent
2	4	4.08
3	17	17.35
4	59	60.2
5	18	18.37
N=	98

1. Usetheinformationinthe tabletofindtheprobabilitydistributionforx.(Hint:createatableof x and p(x) )
2. FindP(x= 5).
3. FindP(x2).
4. FindE[x]andpracticallyinterprettheresult.