11.11 points Davrat 2.E.051 My Notes Ask Your Ocording to a posting on a eo ite

Question

11.11 points Davrat 2.E.051 My Notes Ask Your Ocording to a posting on a eo ite subsequent to the death or a dil c bit into a peanut, a certain study round that 6% or children younger than 1e in the United States have at least one food allergy An ong those with rood allergies about 43% had a history or ia) r a child younger than 18 is randomly selected, what is the probability that he or she has at lest one food al ergy and a history at severe reaction? (Enter your anwer to tour decimal places. b It was alsa rap ad that 20% at t sa with an allergy in tact are aller ic to multiple foods r a child younger than 18 is randomly s"ect d what is tha rahahility that he ar she is aller ta multi let ats? Fnter your answer to thre dad al pacas Need Help?aTuktTuter My Noles Ask Your Dcer ticks can ba camers of cithar Lyma diseasa or human granulocytic ahrlichiosi: HGE). Basad on ? recent study, supposc tat 14? of al tiks in a certain location carry Lymc discasc, ?% camy HGE. and 0? cf the dcks that camr at least one of these dseases in fact carry both of them. If ? randomly solectad tick is found tc have carried HCE. what is the prcbability that tnc selected tick is also carrier of Lymc discasc? (Round your answer to four dccimal places.) 2883x

Explanation / Answer

let Event

A=have at least one food allergy then P(A)=0.06

B=have severe reaction, here P(B|A)=0.4

(a)required probability=P(B and A)=P(B|A)*P(A)=0.4*0.06=0.024

(b)requitrf probability=0.06*0.2=0.012

(3)answer is 1.

P(Lyme)=0.14, P(HGE)=0.06, P(Lyme and HGE)=0.06

we want P(Lyme|HGE)=P(Lyme and HGE)/P(HGE)=0.06/0.06=1

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