The tree diagram shown contains information about the crew members of the Titani
ID: 3337987 • Letter: T
Question
The tree diagram shown contains information about the crew members of the Titanic based on work classification and their survival status during the accident. Answer the following questions based on the tree.
When answering probability questions, write each question in function notation
a. If the name of a crew member is picked at random, what is the probability that the crew member survived? Show work in order to receive credit.
b. The name of a crew member that did not survive is picked at random. What is the probability that the person work classification was “engine”? Show work in order to receive credit.
c. The name of a crew member is chosen at random. What is the probability that it is of a surviving deck personnel?
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d. If the name of an engine crew member is chosen at random, what is the probability that they did not survive?
0.043 Survived Restaurant Not Survived 0.077 0.652Survived 0.074 DeckExplanation / Answer
a) P(survived) = 0.077 * 0.043 + 0.074 * 0.652 + 0.365 * 0.222 + 0.484 * 0.218
P = 0.24
b) P = 0.365
c) P = 0.074 * 0.652 = 0.048
d) P(didnot survive) = 1 - P(survived)
P(didnot survive) = 1 - 0.24
P = 0.76
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