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The contingency table shows how many people wore (Y) and did not wear (N) seat belts as well as how many survived (S) and died (D) in car accidents in a recent year. Wore seat belt Died (D) Total Yes (Y) Survived (S) 370,313 175,079 766 371,079 176,393 No (N) 1314 Total 545,392 2080 547,472 Complete parts a through d below. a. What is the sample space for a randomly selected individual involved in an auto accident? Use a tree diagram to illustrate the possible outcomes. OA OC. D D Sample space: (SS, SD, DS, DD} B. D b. Using the data in the table, estimate (i) P(D), (ii) P(N). (i) P(D) (Round to four decimal places as needed.) D Sample space: {YS, YD, NS, ND} CHE Sample space: {YS, YS, ND, ND} OD. Sample space: (YYYN,NY,NN}

The contingency table shows how many people wore (Y) and did not wear (N) seat belts as well as how many survived (S) and died (D) in car accidents in a recent year. Wore seat belt Died (D) Total Yes (Y) Survived (S) 370,313 175,079 766 371,079 176,393 No (N) 1314 Total 545,392 2080 547,472 Complete parts a through d below. a. What is the sample space for a randomly selected individual involved in an auto accident? Use a tree diagram to illustrate the possible outcomes. OA OC. D D Sample space: (SS, SD, DS, DD} B. D b. Using the data in the table, estimate (i) P(D), (ii) P(N). (i) P(D) (Round to four decimal places as needed.) D Sample space: {YS, YD, NS, ND} CHE Sample space: {YS, YS, ND, ND} OD. Sample space: (YYYN,NY,NN}

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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**Seat Belt Usage and Accident Outcomes Study** The following data provides insights into the relationship between seat belt usage and survival rates in car accidents over a recent year. **Contingency Table:** - **Wore Seat Belt** - Survived (S): 370,313 - Died (D): 766 - Total: 371,079 - **Did Not Wear Seat Belt** - Survived (S): 175,079 - Died (D): 1,314 - Total: 176,393 - **Overall Total:** - Survived (S): 545,392 - Died (D): 2,080 - Combined Total: 547,472 **Analysis Questions:** a. **Sample Space Illustration:** Identify the sample space for randomly selected individuals involved in an auto accident. A tree diagram is used to depict potential outcomes related to seat belt usage and accident results. - **Correct Answer: Option B** - Diagram Structure: - Nodes represent survival (S) or death (D). - Branches show outcomes with seat belt (Y) and without (N). - **Sample Space:** {YS, YD, NS, ND} b. **Probability Estimations:** Using the table data, estimate: (i) **P(D):** Probability of dying in an accident. - Calculation requires rounding to four decimal places. (ii) **P(N):** Probability of not wearing a seat belt. This study provides essential data on the impact of seat belt usage in accidents, highlighting survival odds and emphasizing safety initiatives.
Transcribed Image Text:**Seat Belt Usage and Accident Outcomes Study** The following data provides insights into the relationship between seat belt usage and survival rates in car accidents over a recent year. **Contingency Table:** - **Wore Seat Belt** - Survived (S): 370,313 - Died (D): 766 - Total: 371,079 - **Did Not Wear Seat Belt** - Survived (S): 175,079 - Died (D): 1,314 - Total: 176,393 - **Overall Total:** - Survived (S): 545,392 - Died (D): 2,080 - Combined Total: 547,472 **Analysis Questions:** a. **Sample Space Illustration:** Identify the sample space for randomly selected individuals involved in an auto accident. A tree diagram is used to depict potential outcomes related to seat belt usage and accident results. - **Correct Answer: Option B** - Diagram Structure: - Nodes represent survival (S) or death (D). - Branches show outcomes with seat belt (Y) and without (N). - **Sample Space:** {YS, YD, NS, ND} b. **Probability Estimations:** Using the table data, estimate: (i) **P(D):** Probability of dying in an accident. - Calculation requires rounding to four decimal places. (ii) **P(N):** Probability of not wearing a seat belt. This study provides essential data on the impact of seat belt usage in accidents, highlighting survival odds and emphasizing safety initiatives.
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