
4. Patients infected with a certain virus have a 40% chance of surviving. There are 10...
A certain affects virus 0.9% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false postive). Fill out the remainder of the following table and use it to answer the two questions below. Infected Not Infected Total Positive Test Negative Test Total 900 99,100 100,000 a) Find the probability...
(4) A study indicates that 10% of the US. residents are infected by sonne virus. Am edical test of 2% of the cases where e virus is not present. Suppose a test result comes out as positive. What is the probability that this virus is 95% accurate. But the test also yields false-positive results in the tester is actually infected by the virus?
A certain virus infects one in every 500 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 10% of the time if the person does not have the virus. Let A be the event "the person is infected" and B be the event "the person tests positive." (a) Find the probability that a person has the virus given that they have tested positive. (b)...
3. It is estimated that 2% of the meinbers of a certain population are infected with Hepatitis C virus. A diagnostic test for detecting Hepatitis C yields 4% false positive and 5% false negative results. (a) Find the probability that a person randomly chosen from this popu- lation has a positive result of the diagnostic test for Hepatitis C (b) Find the probability that a random person who has a positive result of the diagnostic test, actually has Hepatitis C.
3. It is estimated that 2% of the members of a certain population are infected with Hepatitis C virus. A diagnostic test for detecting Hepatitis C yields 4% false positive and 5% false negative results. (a) Find the probability that a person randomly chosen from this popu- lation has a positive result of the diagnostic test for Hepatitis C. (b) Find the probability that a random person who has a positive result of the diagnostic test, actually has Hepatitis C
3. It is estinated that 2% of the members of a certain population are infected with Hepatitis C virus. A diagnostic test for detecting Hepatitis C yields 4% false positive and 5% false negative results. (a) Find the probability that a person randomly chosen from this popu- lation has a positive result of the diagnostic test for Hepatitis C. Find the probability that a random person who has a positive result of the diagnostic test, actually has Hepatitis C. (b)
In a population of 300,000 people, 60,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune (cannot become infected again). Of the people who are infected, 3% will die each year and the others will recover. Of the people who have never been infected, 40% will become infected each year. How many people will be infected in 4 years?
3, A hospital is treating patients who have Lhassa Fever, 70% of patients with this disease die, and each patient lives or dies independently of other patients. a. If there are currently 12 Lhassa Fever patients in the hospital, find the probability that6 or fewer die. b. If there are currently 12 Lhassa Fever patients in the hospital, find the probability that 6 or more die. If the hospital has 8 Lhassa Fever patients, find the probability that all die....
A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 80% of the time if the person has the virus and 5% of the time if the person does not have the virus. (This 5% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive". a) Find the probability that a person has the virus...
3. In a certain game of chance, you have a 3/4 chance of winning each time you play with the outcomes each time you play independent of each other). Suppose you play the game until you win for the first time. What is the probability you will win the game on the first second, or third time playing it? 4. A box of 40 fuses contains 10 fuses which are defective. If you randomly choose a collection of 5 fuses...