Please show work In a driver-side star scoring system for crash-testing new cars

Question

Please show work

In a driver-side star scoring system for crash-testing new cars each crash-tested car is given a rating ranging from one star to five stars; the more stars in the rating, the better is the level of crash protection in a head-on collision. A summary of the ED for this dist bution and interpret the result driver side star ratings for the 98 cars is reproduced in the table. Assume that 1 of the 98 cars is selected at random and let x equal the number of stars in the car's dmer side star rating Find Click the icon to view the table Find =E(x) More Info (Round to four decimal places as needed.) Interpret the result practically. Choose the correct answer below. DRIVSTAR Count Percent 0 A. O B. ° C. Over a very large number of trials the average driver-side crash rating is equal to Over a very large number of trials, the average driver-side crash rating is more than Over a very large number of trials the average driver-side crash rating is less than 14 57 20 98 7.14 14.29 58.16 20.41 PrintDone

Explanation / Answer

a)

E(x) = 2(7/98) + 3(14/98) + 4(57/98) + 5(20/98) = 3.9184

The average crash test rating score for 98 tested cars is 3.9184

Result: A option. When sample is large, it will equate to

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