3) The use of plant appearance in prospecting for ore deposits is called geobota

Question

3) The use of plant appearance in prospecting for ore deposits is called geobotanical prospecting. One indicator of copper is a small mint plant with a mauve-colored flower. Suppose that 3% of sites have mineable copper reserves and that when such copper levels are present at a site, the mint plant occurs with probability 80%. When copper content is below a mineable level, the mint plant occurs with probability 15%. Finally, because the mint plant is small, it is easily missed, and the probability of finding it on a site scan is only 60% if it is present. a) What is the probability that the mint plant will be found at a randomly selected site? b) If the mint plant is found, what is the probability that the site has a mineable copper content?

Explanation / Answer

a)probablity that mint plant will be found on a randomely selected site =

P(mineable copper reserves*mint plant*searcheable)+P(non mineable copper reserves*mint plant*searcheable)

=0.03*0.80*0.6+0.97*0.15*0.6= 0.1017

b)probability that site has mineable copper content given mint plant is found =

P(mineable copper reserves*mint plant*searcheable)/P( mint plant found) =0.03*0.80*0.6/0.1017=0.1416

please revert for any clarification required

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