Deer ticks can carriers ofeither Lyme disease or human granulocytic .pdf

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Deer ticks can carriers ofeither Lyme disease or human granulocytic ehrlichiosis (HGE). Based on a recent study, suppose that 16% of all ticks in a certainlocation carry Lyme disease, 10% carry HGE and 10% of ticks thatcarry at least one of these in fact carry both of them. if arandomly selected tick is found to have carried HGE, what is theprobability that these selected tick is also a carrier of Lymedisease? Solution Then .16 T have Lyme, and .10 T have HGE. How many tickshave both? Lets call the number of ticks that have both B. Total number of ticks with some disease= .16 T + .10 T - B,since we double count those with both .10(.16 T + .10 T - B) = B, from the statistic that 10% ofticks that have at least one have both .026T = 1.1 B, so B = .02363636 T. Then out of the 10% of ticks that have HGE, Pr of having Lyme = .02363636 T / (.10 T) =23.64%.

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