3. Media Research has prepared the following table, which classifies a population of individuals who were exposed to a television commercial by income and by impressions of the commercial. High income Low income Recalled the product's name and was favorably impressed .15 .15 Recalled the product's name and was unfavorably impressed .05 .15 Could not recall the product's .20 .30 name a) What is the probability that an individual selected at random had high income and "recalled the product's name and was favorably impressed?" b) What is the probability that an individual selected at random "recalled the product's name and was favorably impressed?" c) What is the probability that an individual selected at random "recalled the product's name and was unfavorably impressed," if that person is known to be in the high-income category? d) Are the event (individual recalled the product's name and was unfavorably impressed) and the event (individual is in the high-income category) independent? Why or why not? (Be explicit!) e) Are the event (individual recalled the product's name) and the event (individual is in the high-income category) independent? Why or why not? (Be explicit!)