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.

measuring light intensity

light meters can be used to measure light intensity. the meter is held at the soil surface and pointed in the direction of the maximum light intensity, and then the meter is read.

errors can be made when measuring light intensity by accidentally shading the light meter. the reliability of the results can be checked by taking many samples.