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) =

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) =
failed

Solution

failed
failed

Solution Steps

Step 1: Calculate \( P(\text{alcoholic with elevated cholesterol}) \)

To find the probability that a randomly selected patient is an alcoholic with elevated cholesterol levels, we use the formula:

\[ P(\text{alcoholic with elevated cholesterol}) = \frac{\text{Number of alcoholic patients with elevated cholesterol}}{\text{Total number of patients}} = \frac{82}{400} \]

Calculating this gives:

\[ P(\text{alcoholic with elevated cholesterol}) = 0.205 \]

Step 2: Calculate \( P(\text{nonalcoholic}) \)

To find the probability that a randomly selected patient is nonalcoholic, we use the formula:

\[ P(\text{nonalcoholic}) = \frac{\text{Number of nonalcoholic patients}}{\text{Total number of patients}} = \frac{305}{400} \]

Calculating this gives:

\[ P(\text{nonalcoholic}) = 0.762 \]

Final Answer

\( P(\text{alcoholic with elevated cholesterol}) = \boxed{0.205} \)

\( P(\text{nonalcoholic}) = \boxed{0.762} \)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Menzies thinks the delineation of the on 150 / Waldseemuller map could have come from the Chinese. a) Pacific Coast b) Caribbean Islands c) Gulf Coast d) Atlantic Coast Menzies suppositions about the origin of a buried junk in a Sacramento River sand bank are based on a) carbon dating b) excavation c) ship log
failedAnswered
3. Write the quadratic equation whose roots are 2 and 3 , and whose leading coefficient is 4 .
failedAnswered
32% of likely U.S. voters think that the federal government should get more involved in fighting local crime. You randomly select six likely U.S. voters and ask them whether they think that the federal government should get more involved in fighting local crime. The random variable represents the number of likely U.S. voters who think that the federal government should get more involved in fighting local crime. Find the mean of the binomial distribution. μ=1.9 (Round to the nearest tenth as needed.) Find the variance of the binomial distribution. σ^2=1.3 (Round to the nearest tenth as needed.) Find the standard deviation of the binomial distribution. σ= (Round to the nearest tenth as needed.)
failedAnswered
Differentiate the function. g(x)=1/(sqrt(x))+sqrt[5](x) g'(x)=
failedAnswered
Question 15 (2.5 points) If the respiratory system fails, which other body systems will eventually fail? - Circulatory and digestive - Circulatory, nervous, and digestive - All body systems - Genitourinary, nervous, and musculoskeletal