A Certain Shop Repairs Both Audio and Video Components

question 4

Essay

A certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A) = .625 and P(B) = .05. What is P(B/A)?

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Definitions:

Population Standard Deviation

A measure of the spread of all values in a population, indicating how much the values differ from the mean of the population.

Sample

A subset of a population used for statistical analysis, selected for the purpose of making generalizations about the total population.

Estimated

An approximation or educated guess based on available data, rather than an exact measurement.

Test Statistic

A calculation, derived from sample data, used to determine the presence of a statistically significant difference between groups in hypothesis testing.