Asked by Vanessa Rodriguez on Jul 07, 2024
Verified
A group of volunteers for a clinical trial consists of 79 women and 77 men.20 of the women and 18 of the men have high blood pressure.If one of the volunteers is selected at random find the probability that the person is a man given that they have high blood pressure.
A) 0.494
B) 0.474
C) 0.234
D) 0.244
E) 0.115
Probability
A numerical value between 0 and 1 that signifies the probability of an event happening.
High Blood Pressure
A condition where the force of the blood against the artery walls is too high, often leading to health issues.
Clinical Trial
A research study conducted with human volunteers to evaluate the safety and effectiveness of medical treatments, drugs, or devices.
- Calculate conditional probabilities in various contexts.
Verified Answer
Let M = the event of selecting a man and H = the event of high blood pressure. Using the formula for conditional probability, we have:
P(M|H) = P(M and H) / P(H)
P(M and H) = 18 (number of men with high blood pressure)
P(H) = 20 + 18 = 38 (total number of high blood pressure cases)
Therefore, P(M|H) = 18/38 = 0.474.
So, the best choice is B.
Learning Objectives
- Calculate conditional probabilities in various contexts.
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