(1 pt) Deer ticks can carry bohtymedisease andlu na granulocytic ehrl n sis diol

Question

(1 pt) Deer ticks can carry bohtymedisease andlu na granulocytic ehrl n sis diol), li a s udy oft ksun the Malwest, it was found that iS % eamed Lyme disease, while 14 % carned IGE In addton, of the ticks with either tyme disease or HGE·11 % carried both diseases. (a) What is the probability PIL. H that a tick carries both Iyme disease(L) and HGE (H)? (b) What is the conditional probability that a tick carries HGE, given that it has Lyme disease? tions Note: Yow can earn partial credit on thits problen

Explanation / Answer

Answer to the question' follows:

P(H) = .14

P(L) = .18

P(L and H given L or H) = .11

P( L or H) = P(H)+P(L)-P( H and L) = .18+.14-.11 = .21

a. P(L H) = .11 (this is directly given in the question)

b. P( given L , carries HGE) = .11/.18 = .6111

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