Question 4 a) For e-commerce merchants, getting a customer to Visit a Web site isn't enough. Merchants must also persuade online shoppers to spend money by completing a purchase. Experts at Consumer Consulting estimate that 88% of Web shoppers abandon their Virtual shopping carts before completing their transaction. Consider a sample of 20 customers who visit an e- commerce Web site, and assume that the probability that a customer will leave the site before completing the transaction is 0.88. What is the probability that all 20 of the customers will leave the site without completing a transaction? b) A task force of CUI-IK sampled 200 students after the mid-term test to ask them whether they went shopping the weekend before the mid-term test or spent the weekend studying, and whether they did well or poorly on the mid-term test. The following result was obtained. Did Well on Mid-Term Test Did Poorly on Mid-Term Test Studied for Mid-Term Test _ i) What is the probability that a randomly selected student did well on the mid-term test or went shopping the weekend before the mid-term test? ii) A random sample of 10 students is selected. What is the probability that 2 of them did well on mid-term test and studied for mid-term test the weekend before the mid-term test? What distribution are you using? Why can you use such distribution