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The RMS Titanic:
On April 15, 1912, the Titanic struck an iceberg and rapidly
sank with only 710 of her 2,204 passengers and crew surviving.
Data on survival of passengers are summarized in the table
below. (Data source:
http://www.encyclopedia-titanica.org/titanic-statistics.html
)
Survived
Did not survive
Total
First class passengers
201
123
324
Second class passengers
118
166
284
Third class passengers
181
528
709
Total passengers
500
817
1317
Calculate the following probabilities. Round your answers to
three decimal places.
If one of the passengers is randomly selected, what is the
probability that this passenger survived?
If one of the passengers is randomly selected, what is the
probability that this passenger was in first class and
survived?
If one passenger is randomly selected, what is the
probability that the person is from 1st class or 3rd class?
If one passenger is randomly selected, what is the
probability that the person is 2nd class or survived?
If two passengers are randomly selected (without
replacement), what is the probability that both passengers
are from 3rd class?
Gender and Class
Data on survival of passengers are summarized in the table
below.
(Data source:
http://www.encyclopedia-titanica.org/titanic-statistics.html
)
Survived
Did not survive
Total
Children in first class
4
1
5
Women in first class
139
4
143
Men in first class
58
118
176
Children in second class
22
0
22
Women in second class
83
12
95
Men in second class
13
154
167
Children in third class
30
50
80
Women in third class
91
88
179
Men in third class
60
390
450
Total passengers
500
817
1317
2. Find the following probabilities.
P(passenger survived given passenger was in first class)
P(passenger survived given passenger was in second class)
P(passenger survived given passenger was in third class)
P(passenger survived given passenger was a child)
P(passenger survived given |passenger was a woman)
P(passenger survived given passenger was a man)
P(child survived given child was in first class)
P(child survived given child was in second class)
P(child survived given child was in third class)
P(woman survived given woman was in first class)
P(woman survived given woman was in second class)
P(woman survived given woman was in third class)
P(man survived given man was in first class)
P(man survived given man was in second class)
P(man survived given man was in third class)
3. Some believe that the rescue procedures favored the
wealthier first class passengers. Other believe that the survival
rates can be explained by the ”women and children first” policy.
Investigate what might and might not be concluded from the
given data. Use the data you found to back up any conclusions
that you make.
In #2, what do the probabilities found in parts a through c
suggest about class and survival?
In #2, what do the probabilities found in parts d through f
suggest about survival and gender?
In #2, what do the probability found in parts g through i
suggests about the survival of children in different classes?
In #2, what do the probability found in parts j through l
suggests about the survival of women in different classes?
In #2, what do the probability found in parts m through o
suggests about the survival of men in different classes?

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The RMS TitanicOn April 15, 1912, the Titanic struck an ice

  • 1. The RMS Titanic: On April 15, 1912, the Titanic struck an iceberg and rapidly sank with only 710 of her 2,204 passengers and crew surviving. Data on survival of passengers are summarized in the table below. (Data source: http://www.encyclopedia-titanica.org/titanic-statistics.html ) Survived Did not survive Total First class passengers 201 123 324
  • 2. Second class passengers 118 166 284 Third class passengers 181 528 709 Total passengers 500 817
  • 3. 1317 Calculate the following probabilities. Round your answers to three decimal places. If one of the passengers is randomly selected, what is the probability that this passenger survived? If one of the passengers is randomly selected, what is the probability that this passenger was in first class and survived? If one passenger is randomly selected, what is the probability that the person is from 1st class or 3rd class? If one passenger is randomly selected, what is the probability that the person is 2nd class or survived? If two passengers are randomly selected (without replacement), what is the probability that both passengers are from 3rd class? Gender and Class Data on survival of passengers are summarized in the table below. (Data source:
  • 5. 143 Men in first class 58 118 176 Children in second class 22 0 22 Women in second class 83
  • 6. 12 95 Men in second class 13 154 167 Children in third class 30 50 80 Women in third class
  • 7. 91 88 179 Men in third class 60 390 450 Total passengers 500 817 1317
  • 8. 2. Find the following probabilities. P(passenger survived given passenger was in first class) P(passenger survived given passenger was in second class) P(passenger survived given passenger was in third class) P(passenger survived given passenger was a child) P(passenger survived given |passenger was a woman) P(passenger survived given passenger was a man) P(child survived given child was in first class) P(child survived given child was in second class) P(child survived given child was in third class) P(woman survived given woman was in first class) P(woman survived given woman was in second class) P(woman survived given woman was in third class) P(man survived given man was in first class) P(man survived given man was in second class) P(man survived given man was in third class)
  • 9. 3. Some believe that the rescue procedures favored the wealthier first class passengers. Other believe that the survival rates can be explained by the ”women and children first” policy. Investigate what might and might not be concluded from the given data. Use the data you found to back up any conclusions that you make. In #2, what do the probabilities found in parts a through c suggest about class and survival? In #2, what do the probabilities found in parts d through f suggest about survival and gender? In #2, what do the probability found in parts g through i suggests about the survival of children in different classes? In #2, what do the probability found in parts j through l suggests about the survival of women in different classes? In #2, what do the probability found in parts m through o suggests about the survival of men in different classes?