Question: A study was designed to assess the effect of Echinacea extracts on the rates of infection of individuals voluntarily exposed to the common-cold rhinovirus. There were three treatment groups: placebo ("Placebo"), Echinacea from time of exposure ("Time0"), Echinacea from 7 days prior to exposure ("Time7"). The two possible outcomes were to either contract the rhinovirus (get a cold) or to not contract the virus. The data is cross-

classified in a two-way table below. Use the data to answer the following questions.

1. Identify the explanatory (X) and response (Y) variables.
2. Give the marginal distributions for both X and Y. (Use proportions.)
3. Give the conditional distribution of Y|X . (Use proportions.)
4. Does it appear that the distribution of Y depends on X ? Justify.

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