51. A study of 1252 consumers was conducted to exam- ine online shopping habits during the winter holiday

season (source: holiday Mood Survey, Shop.org/

BizRate.com). The cross-tabulation table below simulates results from a section of the study that focused

on where consumers researched products and where they ended up purchasing the products. Purchase Location

Research Location

Online Retailer

Off-line Store/ Catalog Online 375 193 Off-line Store/ Catalog

258 426

a. Convert the cross-tabulation table to a joint probability table. Be sure to fill in the marginal values.

b. What percentage of consumers in the survey either purchased a product online or researched a product online or both? c. What percentage of online purchasers did their research off-line?

d. Are research location and purchase location statically independent?