It is estimated that 5.9% of Americans have diabetes. Suppose a medical lab uses a test for diabetes that is 98% accurate for people who have the disease and 95% accurate for people who do not have it. Find the conditional probability that a randomly selected person actually has diabetes given that the lab test says they have it.

P (actually that randomly selected person has diabetes given as given by the lab) = 0.7725

Explanation:

A probability is a number, between 0 and 1, expressing the precise likelihood of an event happening.

Probability (person actually has diabetes) = 5.9%

P(lab test says that they have diabetes) = 0.0764

P (actually that randomly selected person has diabetes given as given by the lab) = 0.7725

Workings shown in the figure below.

amber has allowed scientists to study dna that has been preserved over millions of years.

the water is warmed up by the sun and then it evaporates into the atmosphere. the sunlight warms the water by its heat. water is then cooled down and condensation takes place. the water then finally returns back to the earth by the process of precipitation in the form of rain or ice.

explanation: