Which equation can be used to find the answer?
1 answer:
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Complete Question
Suppose there was a cancer diagnostic test was 95% accurate both on those that do and 90% on those do not have the disease. If 0.4% of the population have cancer, compute the probability that a particular individual has cancer, given that the test indicates he or she has cancer.
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
The probability that the test was accurate given that the person has cancer is
The probability that the test was accurate given that the person do not have cancer is
The probability that a person has cancer is
Generally the probability that a person do not have cancer is
=>
=>
Generally the probability that a particular individual has cancer, given that the test indicates he or she has cancer is according to Bayes's theorem evaluated as
=>
=>
ANSWER
The substitution property of equality.
EXPLANATION
We know that:
and that
Since x=5 or 5=x , we can substitute x for 5 wherever we see x in the given equation.
When we do that, we obtain;
This is what we refer to as the substitution property of equality.