Companies that do business over the Internet can often obtain probability information about website visitors from previous websites visited. Clickstream data on websites visited could be used to determine fairly accurately the gender of a website visitor. Amazon.com, Inc. is a U.S.-based electronic commerce company and is the largest Internet based company in the U.S. Amazon.com would like a certain offer to appear for female visitors and a different offer to appear for male visitors. Based on historic data on website visits of Amazon.com, the management learned that 56% of the visitors to the Amazon.com website are female and 44% are male. Amazon also knows that some visitors to their website previously visited Google.com, and that of all men this proportion is 50% and that of all women this proportion is 35%. Round all numerical answers to 2 decimal places. a) Suppose Amazon.com knows that a visitor has visited Google.com prior to visiting Amazon.com. . Then, what is the probability that this visitor is a female? 0. . What is the probability that this visitor is a male? 0. b) Amazon.com wants certain ads to appear for female visitors and a different ad to appear for male visitors. For the visitors who have previously visited Google.com, should Amazon.com display the ad that appeals more to female visitors or the ad that appeals more to male visitors? (1 = Male, 2 = Female) c) Is the gender of Amazon.com visitor independent from visiting Google.com website prior to visiting Amazon.com? (0 = No, 1 = Yes) > because # . #1: The two probabilities, 56% and 44%, that are given in this problem are not the same. . #2: A completely different reason. d) Are the two genders disjoint events? (0 = No, 1 = Yes) e) Given that a visitor to Amazon.com previously visited Google.com, are the two genders disjoint events? (0 = No, 1 = Yes)