Suppose 0.1% of the population have a new disease. A test is developed for the disease. 98% of people without the disease will receive a negative test result. 99.5% of people with the disease will receive a positive test result. A random person who was tested for the disease is chosen. What is the probability that the chosen person does not have the disease and got a negative test result?​ N = negative test results ​ H = does not have the disease​ P(N and H) = P(N|H) x P(H) or 2. P(H|N) x P(N) [use formula 1]​ = (0.98) P

A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just two aspirins is 63.1%. What is the probability that in a random sample of 490 headache sufferers, less than 59.3% obtain relief? Probability =

Two candidates are running for​ president: John Democrat and Joe Republican. A recent survey concluded that John Democrat had a probability of 0.55 to win the election. One thousand people are interviewed at random about whom they would vote for. A random variable X is defined as the number of people who said they would vote for Joe Republican.   Find the expected value of the random variable

A new medical test has been designed to detect the presence of a certain disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.74. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.04. It is estimated that 14 % of the population who take this test have the disease.If the test administered to an individual is positive, what is the probability that the person actually has the disease?

A test to determine whether a certain antibody is present is 99.7​% effective. This means that the test will accurately come back negative if the antibody is not present​ (in the test​ subject) 99.7​% of the time. The probability of a test coming back positive when the antibody is not present​ (a false​ positive) is 0.003.  Suppose the test is given to seven randomly selected people who do not have the antibody. What is the probability that the test comes back negative for all seven​people? and what is the probability that the test comes back positive for at least one of the seven ​people?

The ebola virus has an incidence rate of 15%. If the false negative is 25% and the following false positive is 30%, then find what is the conditionsl probability of an individual not having ebola, given they received a negative test result? a. 0.97 b. 0.91 c. 0.94 d. 0.88

Suppose you want to estimate the probability that a patient will develop an infection while hospitalized at a particular hospital. In the past year, this hospital had 8,650 patients, and 812 of them developed an infection. What is the estimated probability that a patient at this hospital will develop an infection? 812 O P(the patient develops an infection) 8650 1 P(the patient develops an infection) = 8650 5738 O P(the patient develops an infection) 8650 O P(the patient develops an infection) = 812 812 O P(the patient develops an infection) 5738