Interpretation According to a recent Harris Poll of adults with pets, the probability that the pet owner cooks especially for the pet either frequently or occasionally is 0.24.

(a) From this information, can we conclude that the probability a dog owner cooks for the pet is the same as for a cat owner? Explain.

(b) According to the poll, the probability a dog owner cooks for his pet is 0.27, whereas the probability a cat owner does so is 0.22. Lets explore how such probabilities might occur. Suppose the pool of pet owners surveyed consisted of 200 pet owners, 100 of whom are dog owners and 100 of whom are cat owners. Of the pet owners, a total of 49 cook for their pets. Of the 49 who cook for their pets, 27 are dog owners and 22 are cat owners. Use relative frequencies to determine the probability a pet owner cooks for a pet, the probability a dog owner cooks for their pet, and the probability a cat owner cooks for their pet.

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