During 2016 a vet saw 125 dogs, each suspected of having a particular disease. Of the 125 dogs, 60 were female of whom 25 actually had the disease and 35 did not. Only 20 of the males had the disease, the rest did not. The case history of cach dog was documented on a separate record card. A record card from 2016 is selected at random. Let A represent the event that the dog referred to on the record card was female and B represent the event that the dog referred to was suffering from the disease. Find: (a) P(A) (b) P(A U B) (c) P(A N B) (d) P(A/B)

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Question 5
During 2016 a vet saw 125 dogs, each suspected of having a particular disease. Of the 125 dogs,
60 were female of whom 25 actually had the disease and 35 did not. Only 20 of the males had the
disease, the rest did not. The case history of each dog was documented on a separate record card.
A record card from 2016 is selected at random. Let A represent the event that the dog referred to
on the record card was female and B represent the event that the dog referred to was suffering from
the disease. Find:
(a) P(A)
(b) P(A U B)
(c) P(A N B)
(d) P(A/B)
Transcribed Image Text:Question 5 During 2016 a vet saw 125 dogs, each suspected of having a particular disease. Of the 125 dogs, 60 were female of whom 25 actually had the disease and 35 did not. Only 20 of the males had the disease, the rest did not. The case history of each dog was documented on a separate record card. A record card from 2016 is selected at random. Let A represent the event that the dog referred to on the record card was female and B represent the event that the dog referred to was suffering from the disease. Find: (a) P(A) (b) P(A U B) (c) P(A N B) (d) P(A/B)
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