2. Consider the experiment of drawing two cards without replacement from a deck consisting of only the ace through 10 of a single suit (e.g ., only hearts ). . Describe the outcomes of this experiment .List the elements of the sample space o. Define the event A; to be the set of outcomes for which the sum of the values of the cards is i (with an ace = 1). List the outcomes associated with A; fori = 3 to 19 . c. What is the probability of obtaining a sum of the two cards equaling from 3 to 19 ? 5. Refer to the card scenario described in Problem 2. a. Let A be the event "total card value is odd." Find P(A) and P(A:). o. What is the probability that the sum of the two cards will be more than 14? 9. An airline tracks data on its flight arrivals . Over the past 6 months . 50 flights on one route arrived early, 150 arrived on time, 25 were late, and 45 were canceled . What is the probability that a flight is early ? On time ? Late ? Canceled . Are these outcomes mutually exclusive? :. What is the probability that a flight is either early or on time ? 12 A survey of shopping habits found the percentage of respondents that use technology for shopping as shown in Figure 5.37 Figure : 5.37 Check Prices Online 4.35% Before Shopping 21.74% 17.39% 4.35% 17.39% Use Onling Coupon 1,35% 4,35% Use a Smart Phone to Save Money For example . 17.39 % only use online coupons : 21.74 % use online coupons and check prices online before shopping , and so on. a. What is the probability that a shopper will check prices online before shopping ? b. What is the probability that a shopper will use a smart phone to save money :. What is the probability that a shopper will use online coupons ? 1. What is the probability that a shopper will not use any of these technologies . What is the probability that a shopper will check prices online and use online coupons but not use a smart phone ? f. If a shopper checks prices online , what is the probability that he or she will use a smart phone ? g. What is the probability that a shopper will check prices online but not use online coupons or a smart phone? 13 . A Canadian business school summarized the gender and residency of its incoming class as follows : Residency |Gender Canada United States Europe Asia Other Male 123 24 17 57