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.)
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.)
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7afdb6c4-3a61-4c47-91da-dfd2e9ec1a67%2F5b9b97f2-c7bf-43fc-97f9-42364ed68e04%2Ff87xb6o_processed.jpeg&w=3840&q=75)
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
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Step 1
Given :
where denotes the event that a randomly selected tick carries Lyme disease, denotes the event that a randomly selected tick carries HGE.
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