A Sample Is Selected from One of Two Populations, S₁

question 72

Short Answer

A sample is selected from one of two populations, S₁ and S₂, with probabilities P(S₁) = 0.80 and P(S₂) = 0.20. If the sample has been selected from S₁, the probability of observing an event A is P(A / S₁) = 0.15. Similarly, If the sample has been selected from S₂, the probability of observing A is P(A / S₂) = 0.25.
Round your answer to four decimal places, if necessary
a. If a sample is randomly selected from one of the two populations, what is the probability that event A occurs?
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If a sample is randomly selected and event A is observed, what is the probability that the sample was selected:
b. From population S₁?
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c. From population S₂?
______________

Identify the center and vertices of hyperbolas from their equations.

Solve systems of equations by the method of elimination.

Solve quadratic equations.

Analyze and sketch graphs of quadratic functions and conic sections.

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Definitions:

Equipment Damage Prevention

Strategies and practices aimed at reducing the likelihood of damage to machinery and equipment.

Environmental Management Accounting

The identification, collection, estimation, analysis, internal reporting, and use of materials and energy flow information, environmental cost information, and other cost information for both conventional and environmental decision-making within an organization.

Life Cycle Costing

An analysis method that considers all costs associated with the acquisition, use, maintenance, and disposal of an asset over its entire life.

Environmental Performance Measures

Indicators used to assess the impact of an organization's activities on the environment, including emissions, resource use, and waste management.