3. Probability Contingency Table: As the marketing manager at Amazon, you want t

Question

3. Probability Contingency Table: As the marketing manager at Amazon, you want to analyze data comparing the time a customer spends browsing online to the customer's total purchase. For 1000 customers, you obtain the following data: 0-5 minutes 5-15 minutes >15 minutes $5-$50 150 110 25 $51-$100 175 210 65 $100 90 100 75 Define the following events: a. b. c. Estimate the probability that a customer spends 5-15 minutes on a visit to the website Estimate the probability that a customer spends $51-$100 on a visit to the website. Estimate the probability that a customer spends at least 5 minutes on the website and spends more than $50.

Explanation / Answer

a) P(a customer spends 5-15 minutes on a visit to the website) = (110+210+100)/1000 = 0.42

b) P(a customer spends $51 - $100 non a visit to the website) = (175+210+65)/1000 = 0.45

c) P(a customer spends at least 5 minutes on the website and spends more than $50) = (210+100+65+75)/1000 = 0.45

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