Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose that 14% of all ticks in a certain location carry Lyme disease, 8% carry HGE, and 8% of the ticks that carry at least one of these diseases in fact carry both of them. If a randomly selected tick is found to have carried HGE, what is the probability that the selected tick is also a carrier of Lyme disease? (Round your answer to four decimal places.)

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Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose that
14% of all ticks in a certain location carry Lyme disease, 8% carry HGE, and 8% of the ticks that carry at least one of these
diseases in fact carry both of them. If a randomly selected tick is found to have carried HGE, what is the probability that the
selected tick is also a carrier of Lyme disease? (Round your answer to four decimal places.)
Transcribed Image Text:Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose that 14% of all ticks in a certain location carry Lyme disease, 8% carry HGE, and 8% of the ticks that carry at least one of these diseases in fact carry both of them. If a randomly selected tick is found to have carried HGE, what is the probability that the selected tick is also a carrier of Lyme disease? (Round your answer to four decimal places.)
Expert Solution
Step 1

Given :

PL=0.14PH=0.08PLH|LH=0.08

where L denotes the event that a randomly selected tick carries Lyme disease, H denotes the event that a randomly selected tick carries HGE.

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