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 Survived (S) D Yes (Y) 370,313 No (N) 175,079 Total 545,392 Complete parts a through d below. 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 N S D S D Total 371,079 176,393 547,472 Sample space: (YS, YD, NS, ND} b. Using the data in the table, estimate (i) P(D), (ii) P(N). (1) P(D) 0.0038 (Round to four decimal places as needed.) (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) (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}

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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
Survived (S)
D
370,313
Yes (Y)
No (N)
175,079
Total
545,392
Complete parts a through d below.
S
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
D
Died (D)
766
1314
2080
Sample space:
{SS, SD, DS, DD}
B.
Y
S
D
S
D
Sample space:
{YS, YD, NS, ND}
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.)
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)
(Round to four decimal places as needed.)
Y
N
S
S
D
D
Sample space:
{YS, YS, ND, ND}
OD.
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 Survived (S) D 370,313 Yes (Y) No (N) 175,079 Total 545,392 Complete parts a through d below. S 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 D Died (D) 766 1314 2080 Sample space: {SS, SD, DS, DD} B. Y S D S D Sample space: {YS, YD, NS, ND} 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.) 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) (Round to four decimal places as needed.) Y N S S D D Sample space: {YS, YS, ND, ND} OD. N N Y N Sample space: {YY, YN, NY,NN}
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