Question

a)

i)

P(dislike cats)=36/85

ii)

P(likes cats and does not own dog)=30/85

iii)P(dislikes cats or has no opinion about them)=(36+6)/85=42/85

iv)

P(dislike cats or does not own a dog)=(36+54-18)/85=72/85

v)P(dislike cats given own a dog)=18/31

vi)P(own dog given dislike cats)=18/36=1/2

b)

No as P(dislike cats) =36/85 is not equal to P(dislike cats given own a dog)=18/31 ; for independence they must be equal

c)

Yes ; as they do not have a common element between them,

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