Questions: A recent study of patients found that of 95 alcoholic patients, 82 had elevated cholesterol levels, and of 305 nonalcoholic patients, 64 had elevated cholesterol levels. If a patient is selected at random, find the probability that the patient is the following. Round your answers to three decimal places.
Part 1 of 3
P( alcoholic with elevated cholesterol) =
Part 2 of 3
P( nonalcoholic) =
Transcript text: A recent study of patients found that of 95 alcoholic patients, 82 had elevated cholesterol levels, and of 305 nonalcoholic patients, 64 had elevated cholesterol levels. If a patient is selected at random, find the probability that the patient is the following. Round your answers to three decimal places.
Part 1 of 3
P( alcoholic with elevated cholesterol) =
Part 2 of 3
P( nonalcoholic) =
Solution
Solution Steps
Step 1: Calculate P(alcoholic with elevated cholesterol)
To find the probability that a randomly selected patient is an alcoholic with elevated cholesterol levels, we use the formula:
P(alcoholic with elevated cholesterol)=Total number of patientsNumber of alcoholic patients with elevated cholesterol=40082
Calculating this gives:
P(alcoholic with elevated cholesterol)=0.205
Step 2: Calculate P(nonalcoholic)
To find the probability that a randomly selected patient is nonalcoholic, we use the formula:
P(nonalcoholic)=Total number of patientsNumber of nonalcoholic patients=400305