QUESTION IMAGE
Question
a survey was done of commuters in three major cities about how they primarily got to work. given that they took the train, what was the probability that they lived in chicago?
options:
a 56%
b 14%
c 34%
d 27%
table:
| car | train | walk | total | |
|---|---|---|---|---|
| los angeles | 36 | 24 | 10 | 70 |
| chicago | 16 | 28 | 6 | 50 |
| total | 62 | 102 | 36 | 200 |
Step1: Identify relevant values
We need the number of commuters who took the train and lived in Chicago (28) and the total number of commuters who took the train (102).
Step2: Calculate the probability
The probability is the number of favorable outcomes (Chicago and train) divided by the number of total outcomes (train). So, $P = \frac{28}{102} \approx 0.2745$, which is approximately 27%.
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D. 27%