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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 D Survived (S) 370,313 Yes (Y) 175,079 No (N) Total 545,392 Complete parts a through d below. S D 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. O C. D D Died (D) 766 1314 2080 Sample space: {SS, SD, DS, DD} B. Y S D b. Using the data in the table, estimate (i) P(D), (ii) P(N). (i) P(D) 0.0038 (Round to four decimal places as needed.) S D Sample space: {YS, YD, NS, ND} Total 371,079 176,393 547,472 *** (ii) P(N)≈ 0.3222 (Round to four decimal places as needed.) c. Estimate the probability that an individual did not wear a seat belt and died. P(N and D) 0.0024 (Round to four decimal places as needed.) d. Based on (b), what would the answer to (c) have been if the events N and D were independent? P(N and D) (Round to four decimal places as needed.) N S D D Sample space: {YS, YS, ND, ND} O D. N N N Sample space: (YY, YN,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 D Survived (S) 370,313 Yes (Y) 175,079 No (N) Total 545,392 Complete parts a through d below. S D 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. O C. D D Died (D) 766 1314 2080 Sample space: {SS, SD, DS, DD} B. Y S D b. Using the data in the table, estimate (i) P(D), (ii) P(N). (i) P(D) 0.0038 (Round to four decimal places as needed.) S D Sample space: {YS, YD, NS, ND} Total 371,079 176,393 547,472 *** (ii) P(N)≈ 0.3222 (Round to four decimal places as needed.) c. Estimate the probability that an individual did not wear a seat belt and died. P(N and D) 0.0024 (Round to four decimal places as needed.) d. Based on (b), what would the answer to (c) have been if the events N and D were independent? P(N and D) (Round to four decimal places as needed.) N S D D Sample space: {YS, YS, ND, ND} O D. N N N Sample space: (YY, YN,NY,NN}

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 43SE: A wholesale T-shirt company oilers sizes small, medium, large, and extra-large in organic or non-...
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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) O Survived (S) 370,313 Yes (Y) 766 175,079 1314 No (N) Total 545,392 2080 Complete parts a through d below. S D 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 O C. D S D Sample space: {SS, SD, DS, DD} B. Y S D b. Using the data in the table, estimate (i) P(D), (ii) P(N). (i) P(D) 0.0038 (Round to four decimal places as needed.) S D Sample space: {YS, YD, NS, ND} Total 371,079 176,393 547,472 C *** (ii) P(N) 0.3222 (Round to four decimal places as needed.) c. Estimate the probability that an individual did not wear a seat belt and died. P(N and D) 0.0024 (Round to four decimal places as needed.) d. Based on (b), what would the answer to (c) have been if the events N and D were independent? P(N and D) (Round to four decimal places as needed.) Y N S D Sample space: {YS, YS, ND, ND} O D. Y N N Y N Sample space: {YY,YN, NY,NN}
Transcribed Image Text: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) O Survived (S) 370,313 Yes (Y) 766 175,079 1314 No (N) Total 545,392 2080 Complete parts a through d below. S D 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 O C. D S D Sample space: {SS, SD, DS, DD} B. Y S D b. Using the data in the table, estimate (i) P(D), (ii) P(N). (i) P(D) 0.0038 (Round to four decimal places as needed.) S D Sample space: {YS, YD, NS, ND} Total 371,079 176,393 547,472 C *** (ii) P(N) 0.3222 (Round to four decimal places as needed.) c. Estimate the probability that an individual did not wear a seat belt and died. P(N and D) 0.0024 (Round to four decimal places as needed.) d. Based on (b), what would the answer to (c) have been if the events N and D were independent? P(N and D) (Round to four decimal places as needed.) Y N S D Sample space: {YS, YS, ND, ND} O D. Y N N Y N Sample space: {YY,YN, NY,NN}
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