In a certain population, the probability that a randomly selected subject will have been exposed to a certain allergen and experience a reaction to the allergen is .60. The probabil- ity is .8 that a subject exposed to the allergen will experience an allergic reaction. If a subject is selected at random from this population, what is the probability that he or she will have been exposed to the allergen?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 47RE
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10. Do the problem #9 on page 78 in the Chapter 3 Review questions and exercises
starting on page 76.
E= Ex posed
R=Reaction
PCEÄN= P(Ex pused and Reachon) = 0.60
PCRTE) = P (Recvction given
Want to find PCE)= P (Expused)
Cover
Ex posea) = 0,80
Ven
and
ニ
P (E)
P(o180)= P(0.60)
P(o.80)- P(o.60)
0.80X =
O.60
O180
O,80
X =0.75
Probability that he or she will
have been Eyposed to the Allegen = Di75
Transcribed Image Text:10. Do the problem #9 on page 78 in the Chapter 3 Review questions and exercises starting on page 76. E= Ex posed R=Reaction PCEÄN= P(Ex pused and Reachon) = 0.60 PCRTE) = P (Recvction given Want to find PCE)= P (Expused) Cover Ex posea) = 0,80 Ven and ニ P (E) P(o180)= P(0.60) P(o.80)- P(o.60) 0.80X = O.60 O180 O,80 X =0.75 Probability that he or she will have been Eyposed to the Allegen = Di75
9. In a certain population, the probability that a randomly
selected subject will have been exposed to a certain allergen
and experience a reaction to the allergen is .60. The probabil-
ity is .8 that a subject exposed to the allergen will experience
an allergic reaction. If a subject is selected at random from
this population, what is the probability that he or she will have
been exposed to the allergen?
Transcribed Image Text:9. In a certain population, the probability that a randomly selected subject will have been exposed to a certain allergen and experience a reaction to the allergen is .60. The probabil- ity is .8 that a subject exposed to the allergen will experience an allergic reaction. If a subject is selected at random from this population, what is the probability that he or she will have been exposed to the allergen?
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