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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 driver-side star ratings for 98 cars is reproduced in the accompanying table. Assume that 1 of the 98 cars is selected at random, and let x equal the number of stars in the car's driver-side star rating. Complete parts a through d. Click the icon to view the summary of the ratings. a. Use the information in the summary to find the probability distribution for x. Complete the table below. 1 2 4 p(x) Printout (Round to four decimal places as needed.) b. Find P(x = 3). P(x = 3) = (Round to four decimal places as needed.) Rating Count Percent c. Find P(x<2). 2 9. 9.18 3 12 12.24 P(xs2) = (Round to four decimal places as needed.) 4 59 60.20 18 18.37 d. Find u = E(x) and practically interpret the result. %3D N = 98 (Round to four decimal places as needed.) Choose the correct answer below. Print Done O A. Over a very large number of trials, the average driver-side crash rating is more than p. B. Over a very large number of trials, the average driver-side crash rating is equal to µ. O C. Over a very large number of trials, the average driver-side crash rating is less than u.

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 driver-side star ratings for 98 cars is reproduced in the accompanying table. Assume that 1 of the 98 cars is selected at random, and let x equal the number of stars in the car's driver-side star rating. Complete parts a through d. Click the icon to view the summary of the ratings. a. Use the information in the summary to find the probability distribution for x. Complete the table below. 1 2 4 p(x) Printout (Round to four decimal places as needed.) b. Find P(x = 3). P(x = 3) = (Round to four decimal places as needed.) Rating Count Percent c. Find P(x<2). 2 9. 9.18 3 12 12.24 P(xs2) = (Round to four decimal places as needed.) 4 59 60.20 18 18.37 d. Find u = E(x) and practically interpret the result. %3D N = 98 (Round to four decimal places as needed.) Choose the correct answer below. Print Done O A. Over a very large number of trials, the average driver-side crash rating is more than p. B. Over a very large number of trials, the average driver-side crash rating is equal to µ. O C. Over a very large number of trials, the average driver-side crash rating is less than u.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Driver-Side "Star" Scoring System for Crash-Testing New Cars** 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. Below is a summary of the driver-side star ratings for 98 cars. Assume that 1 of the 98 cars is selected at random, and let \( x \) equal the number of stars in the car's driver-side star rating. Complete parts **a** through **d**. **Click the icon to view the summary of the ratings.** ### Task: a. Use the information in the summary below to find the probability distribution for \( x \). Complete the table below. | x | 1 | 2 | 3 | 4 | 5 | |:---:|:---:|:---:|:---:|:---:|:---:| | p(x)| | | | | | *(Round to four decimal places as needed.)* b. Find \( P(x = 3) \). \( P(x = 3) = \) ______ *(Round to four decimal places as needed.)* c. Find \( P(x \leq 2) \). \( P(x \leq 2) = \) ______ *(Round to four decimal places as needed.)* d. Find \( \mu = E(x) \) and practically interpret the result. \( \mu = \) ______ *(Round to four decimal places as needed.)* Choose the correct answer below. A. Over a very large number of trials, the average driver-side crash rating is more than \( \mu \). B. Over a very large number of trials, the average driver-side crash rating is equal to \( \mu \). C. Over a very large number of trials, the average driver-side crash rating is less than \( \mu \). ### Summary of Ratings: *Rating Summary Table:* | Rating | Count | Percent | |:------:|:-----:|:-------:| | 2 | 9 | 9.18 | | 3 | 12 | 12.24 | | 4 | 59
Transcribed Image Text:**Driver-Side "Star" Scoring System for Crash-Testing New Cars** 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. Below is a summary of the driver-side star ratings for 98 cars. Assume that 1 of the 98 cars is selected at random, and let \( x \) equal the number of stars in the car's driver-side star rating. Complete parts **a** through **d**. **Click the icon to view the summary of the ratings.** ### Task: a. Use the information in the summary below to find the probability distribution for \( x \). Complete the table below. | x | 1 | 2 | 3 | 4 | 5 | |:---:|:---:|:---:|:---:|:---:|:---:| | p(x)| | | | | | *(Round to four decimal places as needed.)* b. Find \( P(x = 3) \). \( P(x = 3) = \) ______ *(Round to four decimal places as needed.)* c. Find \( P(x \leq 2) \). \( P(x \leq 2) = \) ______ *(Round to four decimal places as needed.)* d. Find \( \mu = E(x) \) and practically interpret the result. \( \mu = \) ______ *(Round to four decimal places as needed.)* Choose the correct answer below. A. Over a very large number of trials, the average driver-side crash rating is more than \( \mu \). B. Over a very large number of trials, the average driver-side crash rating is equal to \( \mu \). C. Over a very large number of trials, the average driver-side crash rating is less than \( \mu \). ### Summary of Ratings: *Rating Summary Table:* | Rating | Count | Percent | |:------:|:-----:|:-------:| | 2 | 9 | 9.18 | | 3 | 12 | 12.24 | | 4 | 59
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