The table at the bottom of the page lists the number of  passengers (according to class of ticket) and crew who were  on the Titanic and the number of passengers and crew who  survived. Use this information to determine the following.  (Round answers to four decimal places.) Source: Signifcance. (a)  What is the overall probability of surviving? (b)  Given that a passenger is from frst class, what is the prob-ability that the passenger survived? (c)  Are the events “survival” and “frst class survival” inde-pendent events? What does this imply?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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The table at the bottom of the page lists the number of 
passengers (according to class of ticket) and crew who were 
on the Titanic and the number of passengers and crew who 
survived. Use this information to determine the following. 
(Round answers to four decimal places.) Source: Signifcance.


(a)  What is the overall probability of surviving?
(b)  Given that a passenger is from frst class, what is the prob-ability that the passenger survived?
(c)  Are the events “survival” and “frst class survival” inde-pendent events? What does this imply?

Children
On
First Class
5
Second Class 24
Third Class
76
Crew
0
Totals
105
Survived
5
24
23
0
52
Women
On Survived On
144
139
173
93
78
160
179
98
454
23
21
875
439
336
1662
Men
Survived
58
13
55
189
315
Totals
On Survived
322
202
277
115
709
176
898
210
2206
703
Transcribed Image Text:Children On First Class 5 Second Class 24 Third Class 76 Crew 0 Totals 105 Survived 5 24 23 0 52 Women On Survived On 144 139 173 93 78 160 179 98 454 23 21 875 439 336 1662 Men Survived 58 13 55 189 315 Totals On Survived 322 202 277 115 709 176 898 210 2206 703
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