Because the Core Test Can Only Sample a Small Part

question 20

Essay

Because the core test can only sample a small part of the mine,Southport's geologists believe it is somewhat unrealistic to view it as a perfectly reliable test.Based on similar tests they have conducted in the past,they believe that if the metallurgical properties of the ore are actually High Grade,then the probability that this test will return "favorable" results is 0.95.If the metallurgical properties are Low Grade,the probability that this test will return "favorable" results is only 0.25.Otherwise,the test results will be considered "unfavorable".Given this information,what are the posterior probabilities that the ore will be a High Grade and Low Grade,given the core test report?

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Definitions:

Hydrophobic

Characteristic of molecules that repel water or do not mix well with water, often due to nonpolar properties.

Alkanes

Hydrocarbons consisting solely of hydrogen and carbon atoms arranged in straight or branched chains without any double or triple bonds.

Cis/trans Designation

A way to distinguish isomers by the relative positioning of functional groups within a molecule; cis means on the same side and trans means on opposite sides.

Compound

A substance formed by the chemical combination of two or more elements in a fixed ratio.