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Suppose that 32% of people have a dog, 27% of people have a cat, and 12%...

Suppose that 32% of people have a dog, 27% of people have a cat, and 12% have both.

a) What is the probability that someone owns a dog but not a cat?

b) What is the probability that two independently selected people have cats?

c) What is the probability that two independently selected people have a cat or dog but not both?

d) What is the probability that someone owns neither a dog nor cat?

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Answer #1

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Let A and B are two event A: people have a dog Bi people have a cat PCA) = 0:32 PCB)= 0.27 PLADB)- 012 a) probability that soPCA)2 + PCB)2 – (PLANB))? - 09322+ 0.242. 0.122 = 0.1609 d) probability that some one owns neigther cat nor dog is PCACNBC) M

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