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}

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
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5.

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
Total
Survived (S)
370,313
Died (D)
766
Yes (Y)
371,079
175,079
1314
176,393
No (N)
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.
S
D
S
D
S
D
Sample space:
{SS, SD, DS, DD}
B.
Y
b. Using the data in the table, estimate (i) P(D), (ii) P(N).
(i) P(D) ~ (Round to four decimal places as needed.)
Z
D
S
D
Sample space:
{YS, YD, NS, ND}
Y
N
S
S
D
Sample space:
{YS, YS, ND, ND}
OD.
N
Y
N
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 Total Survived (S) 370,313 Died (D) 766 Yes (Y) 371,079 175,079 1314 176,393 No (N) 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. S D S D S D Sample space: {SS, SD, DS, DD} B. Y b. Using the data in the table, estimate (i) P(D), (ii) P(N). (i) P(D) ~ (Round to four decimal places as needed.) Z D S D Sample space: {YS, YD, NS, ND} Y N S S D Sample space: {YS, YS, ND, ND} OD. N Y N N Sample space: {YY,YN, NY,NN}
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