QUESTION IMAGE
Question
find the indicated probability. a survey of senior citizens at a doctors office shows that 52% take blood pressure - lowering medication, 43% take cholesterol - lowering medication, and 5% take both medications. what is the probability that a senior citizen takes either blood pressure - lowering or cholesterol - lowering medication? 0.85 0.90 1 0.14 0
Step1: Identify the formula
Use the formula for the probability of the union of two events $P(A\cup B)=P(A)+P(B)-P(A\cap B)$. Let $A$ be the event of taking blood - pressure lowering medication and $B$ be the event of taking cholesterol - lowering medication.
Step2: Assign the values
We have $P(A) = 0.52$, $P(B)=0.43$ and $P(A\cap B)=0.05$.
Step3: Calculate the probability
Substitute the values into the formula: $P(A\cup B)=0.52 + 0.43-0.05$.
$P(A\cup B)=0.95 - 0.05=0.90$.
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