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A recent study of 300 patients found that of 100 alcoholic patients 87 had elevated cholesterol levels; and 200 non-alcoholic patients; 43 had elevated choleste...

Question

A recent study of 300 patients found that of 100 alcoholic patients 87 had elevated cholesterol levels; and 200 non-alcoholic patients; 43 had elevated cholesterol levelsa) If a patient is selected at random, find the probability that the patient is the following an alcoholic with elevated cholesterol level: non-alcoholic. a non-alcoholic with non-elevated cholesterol level:Are the events "alcoholic" and "non-elevated cholesterol levels" independent? Are they mutually exc

A recent study of 300 patients found that of 100 alcoholic patients 87 had elevated cholesterol levels; and 200 non-alcoholic patients; 43 had elevated cholesterol levels a) If a patient is selected at random, find the probability that the patient is the following an alcoholic with elevated cholesterol level: non-alcoholic. a non-alcoholic with non-elevated cholesterol level: Are the events "alcoholic" and "non-elevated cholesterol levels" independent? Are they mutually exclusive? Explain why or why not.



Answers

Medical Patients A recent study of 300 patients found that of 100 alcoholic patients, 87 had elevated cholesterol levels, and of 200 nonalcoholic patients, 43 had elevated cholesterol levels. If a patient is selected at random, find the probability that the patient is the following. a. An alcoholic with elevated cholesterol level b. A nonalcoholic c. A nonalcoholic with nonelevated cholesterol level

Let be off a denote the probability off known alcoholic person, which is equal to the number off known alcoholic person divided by the total number off person and let be off Be denote the probability off person who has elevated cholesterol, which is equal to the number of persons having elevated cholesterol divided by the total number off persons and let the off a intersection be denote the probability off a person who is unknown, alcoholic and has elevated the last cholesterol, which is equal to 60 upon 4 50 Now we need to find double belt E off a person who is on an known alcoholic or has elevated cholesterol. That is the note it would be off a union be, which is equal to be off a plus B off B minus B off a intersection B. Now we're putting the value of P. O Fay be off B and B off a intersection B. We have 300 upon five 4 50 plus 1 80 upon 4 50 minus 60 upon 4 50 But simply find it. We have 4 20 upon for 50 which is equal to 14 upon 15. This is our answer

Let be off a denote the probability offer known alcoholic person, which is equal to number off known alcoholic person. A bone total number off persons Let be off. Be denote the probability off a person. We who has a normal cholesterol which is equal to the number of persons, has normal cholesterol, divided by total number off persons. And let Yo Fe intersection be denote the probability off a person who is known alcoholic and has normal cholesterol, which is equal to 2 40 upon four 50. Now we need to find the operability off a person who is known alcoholic or has normal cholesterol. Like just, you know, it would be off a union be which is equal to P off a plus B off B minus. P off a intersection B now, but putting the value of p. O Fay be off key and be over into section B. We have won 20 upon for 50 plus 2 70 upon 4 50 minus 2 40 upon 4 50 which is again equal to 1 50 upon 4 50 statistical toe one upon three. So this is our concept

Let your Fae denote operability off alcoholic person, which is equal to number off alcoholic persons upon total number off persons and be off be denote the probability off a person has elevated cholesterol, which is equal to a number of persons, has elevated castor cholesterol, a bone total number off persons and let be off a intersection. Be denote double belt E off. A person is an alcoholic and has elevated cholesterol, which is equal to the number of persons. Alcoholic persons and elevated has elevated cholesterol, which is equal to 1 20 upon divided by the total number off persons. So we need to find the operability off. A person is an alcoholic or has elevated cholesterol like this, you know, with it be off a union V, which is equal to be off a plus p off B minus B off a intersection B. Now, by putting the value off the off A B or B and B office in the section being, we have 1 50 upon 5 40 plus 1 80 upon 4 50 minus 1 20 upon 4 50 which is equal to 2 10 upon 4 50 which is again equal to seven upon 15. This is a

It is given that total number of persons are is equal to 4 50 letters in owed it by enough s and it is given that number off known alcoholic was since ah three 100 Now frivolity off person who is known alcoholic is equal to p off known alcoholic is equal to a number of persons whose are known alcoholic denoted by the total number off persons which comes out to be 300 upon 4 50 which is equal toe to upon three. This is ever answer.


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