1.A recent marketing survey tried to relate a consumer\'s awareness of a new mar

Question

1.A recent marketing survey tried to relate a consumer's awareness of a new marketing campaign with their rating of the product. Consumers rated their awareness as low, medium, or high, and rated the product as poor, fair, or good. The results are presented below. 0.10 0.06 Good0.07 wareness Low Medium High 0.15 0.11 0.11 0.07 0.06 0.27 Poor Rating Fair a. What is the probability that a consumer had both high awareness and thought the product was b. What is the probability that a consumer who had medium awareness ranked the product as fair c. What is the probability that a consumer who did not rank the product as poor had high poor? or good? awareness?

Explanation / Answer

a. Probability that a consumer had a both high awareness and thought the product was poor = Value of the cell in poor row and High column =0.07

b. Probability that consumer who had medium awareness ranked the product as fair or good = value of cell under fair row and medium column + value of cell under good row and medium column = 0.11 + 0.11 = 0.22

c. Probability that the consumer who did not rank the product as poor had high awareness i.e Probability that the consumer who ranked the product as good or fair hd high awareness = Value of the cell under high row and good column + Value of the cell under high row and fair column = 0.27 + 0.6 =0.33

Awareness Low Medium High Total Rating Poor 0.1 0.15 0.07 0.32 Fair 0.06 0.11 0.06 0.23 Good 0.07 0.11 0.27 0.45 Total 0.23 0.37 0.4 1

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