Asked by Rachel Weatherbee on May 05, 2024
Verified
A survey of senior citizens at a doctor's office shows that 45% take blood pressure-lowering medication,41% take cholesterol-lowering medication,and 14% take both medications.What is the probability that a senior citizen takes either blood pressure-lowering or cholesterol-lowering medication?
A) 0.18
B) 0.72
C) 0.00
D) 1.00
E) 0.86
Blood Pressure-Lowering Medication
Drugs prescribed to reduce high blood pressure, thereby lowering the risk of heart disease and stroke.
Cholesterol-Lowering Medication
Refers to drugs used to reduce the levels of cholesterol in the blood, which can help prevent cardiovascular diseases.
Senior Citizen
A term referring to individuals who have reached an advanced age, generally considered to be 65 years or older in many societies.
- Acquire knowledge and utilize the formula to calculate the probability that at least one of two events will happen.
- Analyze survey data to calculate probabilities related to intersecting sets.
Verified Answer
ZK
Zybrea KnightMay 09, 2024
Final Answer :
B
Explanation :
To find the probability that a senior citizen takes either blood pressure-lowering or cholesterol-lowering medication, we need to add the probabilities of taking each medication and then subtract the probability of taking both medications to avoid double counting.
P(taking blood pressure-lowering medication) = 0.45
P(taking cholesterol-lowering medication) = 0.41
P(taking both medications) = 0.14
P(taking either medication) = P(taking blood pressure-lowering medication) + P(taking cholesterol-lowering medication) - P(taking both medications)
= 0.45 + 0.41 - 0.14
= 0.72
So, the probability that a senior citizen takes either blood pressure-lowering or cholesterol-lowering medication is 0.72.
P(taking blood pressure-lowering medication) = 0.45
P(taking cholesterol-lowering medication) = 0.41
P(taking both medications) = 0.14
P(taking either medication) = P(taking blood pressure-lowering medication) + P(taking cholesterol-lowering medication) - P(taking both medications)
= 0.45 + 0.41 - 0.14
= 0.72
So, the probability that a senior citizen takes either blood pressure-lowering or cholesterol-lowering medication is 0.72.
Learning Objectives
- Acquire knowledge and utilize the formula to calculate the probability that at least one of two events will happen.
- Analyze survey data to calculate probabilities related to intersecting sets.