Here is a table showing joint probabilities of survival on the Titanic (a British ship that sank in 1912 after hitting an iceberg) based on whether they were crew members, or passengers booked in first, second, or third class staterooms: Crew First class Second class Third class Alive 0.096 0.092 0.054 0.081 Dead 0.306 0.055 0.076 0.240 #1 If I select one person that was on the Titanic at random, what is the probability that they were in Third class? Show your work on paper #2 If I select one random person that was booked in Third class on the Titanic, what is the probability that they died? Show your work on paper #3 If I select one random person that died on the Titanic, what is the probability that they were part
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Here is a table showing joint probabilities of survival on the Titanic (a British ship that sank in 1912 after hitting an iceberg) based on whether they were crew members, or passengers booked in first, second, or third class staterooms:
|
|
Crew |
First class |
Second class |
Third class |
|
Alive |
0.096 |
0.092 |
0.054 |
0.081 |
|
Dead |
0.306 |
0.055 |
0.076 |
0.240 |
#1 If I select one person that was on the Titanic at random, what is the probability that they were in Third class? Show your work on paper
#2 If I select one random person that was booked in Third class on the Titanic, what is the probability that they died? Show your work on paper
#3 If I select one random person that died on the Titanic, what is the probability that they were part of the crew? Show your work on paper
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