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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
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.

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON