Statistics Examples

Determine if B and A are Independent/Dependent Events
, ,
Step 1
Two events are independent events when the occurrence of one does not affect the probability of the other. and .
Step 2
should equal to because the occurrence of should not effect the probability of for independent events and . In this case, .
Step 3
Find using Bayes's rule.
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Using the Bayes' rule, .
Substitute the given values , , and in Bayes' rule.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Step 4
should equal to because the occurrence of should not effect the probability of for independent events and . In this case, .
Step 5
and , which means that and are independent events.
A and B are independent events
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