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"Within three months, Colgate grabbed the number one market share for toothpaste. Ten months later, 21% of all U.S. households had purchased Total (a product of Colgate) for the first time. During this same period, 43% of those who initially tried Total purchased it again. Colgate Total had been succesfully introduced into the U.S. market."

1) What probabilities are given in this case? Use these probabilities and the probability laws to determine what percentage of U.S. households purchased Total at least twice in the first 10 months of its release.

2) Is age category independent of willingness to try new products? According to the U.S. Census Bureau, approximately 20% of all Americans are in the 45-64 age category. Supposese 24% of the consumers who purchased Total for the first time during the initial 10-month period were in the 45-64 age category. Use this information to determine whether age is independent of the initial purchase of Total during the introductory time period. Explain your answer.

3) Using the probabilities given in Question 1, calculate the probability that a randomly selected U.S. consumer is either in the 45-64 age category or purchased Total during the initial 10-month period. What is the probability that a randomly selected person purchased Total in the first 10 months given that the person is in the 45-64 age category?

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# Help on stats prob

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