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    U. S. families with pets

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    The following table gives the number of U.S. families, in thousands, with pet dogs, pet cats, and pet birds, by size of family. (Source: Statistical Abstract of the United States 2000, 120th Edition.)

    Family Size One Member Two Members Three Members Four or More

    Pet Dog 4,120 9,670 6,680 10,760

    Pet Cat 4,540 8,880 5,560 8,070

    Pet Bird 180 440 330 550

    Among one-member families with pets, what proportion have pet cats?

    Among families with pet cats, what proportion of them are families of size one?

    Given that a pet-owner family has four or more members, find the proportion with a pet bird.

    Given that a family has a pet bird, find the probability that the family has four or more members.

    If a family with one of these pets is chosen at random, find the probability that the family has two members and a dog.

    If a family with one of these pets is chosen at random, find the probability that the family has two members or it has a dog.

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    Solution Preview

    1) Among one-member families with pets, what proportion have pet cats?

    4540 / (4120 + 4540 + 180) = 4540 / 8840 = 227/442

    2) Among families with pet cats, what proportion of them are families of size one?

    4540 / (4540 + 8880 + 5560 + 8070) = 4540 / 27050 = 454/2705

    3) ...

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