At a veterinary emergency room for dogs, cats, and other pets, animals are classified as 15% of them critical, 35% are serious, and 50% are stable. Of the critical ones, 37% die; of the serious ones, 11% die; and of the stable ones, 5% die. Given that an animal dies, what is the conditional probability that the animal was classified as critical?

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At a veterinary emergency room for dogs, cats, and other pets, animals are classified as 15% of them critical, 35% are serious, and 50% are stable. Of the critical ones,
37% die; of the serious ones, 11% die; and of the stable ones, 5% die. Given that an animal dies, what is the conditional probability that the animal was classified as
critical?
Transcribed Image Text:At a veterinary emergency room for dogs, cats, and other pets, animals are classified as 15% of them critical, 35% are serious, and 50% are stable. Of the critical ones, 37% die; of the serious ones, 11% die; and of the stable ones, 5% die. Given that an animal dies, what is the conditional probability that the animal was classified as critical?
Expert Solution
Step 1: Given information

Let A, B and C be events when an animal is classified as critical, serious and stable respectively. 

Let D be the event  that an animal dies.

P( A) = 0.15

P( B) = 0.35

P(C) = 0.50

P(D|A) = 0.37

P(D|B) = 0.11

P(D|C) = 0.05



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