A firm revised its advertising to emphasize the energy-conserving features of its new cars. These ads, as well as ads that do not emphasize conservation, were shown to potential customers. This table...

A firm revised its advertising to emphasize the energy-conserving features of its new cars. These ads, as well as ads that do not emphasize conservation, were shown to potential customers. This table shows the joint probabilities.

a. What would it mean to advertising managers at this firm if the reaction and theme were independent?
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b. Find the marginal probability that a customer has a positive reaction to this firm’s advertisements and the marginal probability that a customer sees the new conservation-themed advertisement.⁵

c. Are the reaction and theme independent or dependent? Interpret.⁶