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Cable and DSL Connections: Wired for Speed The Statistics in Action case study presented at the So market share can be thought of as a conditional prob beginning of this chapter introduced the concept of ability. Suppose that the market share for cable, DSL, viewing a market share as a probability. For example, if and other (satellite and wireless) are as follows. Since the cable industry has a 50% market share of the con- advertisers are highly interested in the proportion of sumers of high-speed Internet access, then the following individuals that purchase online, probabilities of making probability can be used to express this: an online purchase are given. The proportion of individ uals that purchase online are presented conditioned on P(Select cable modem for Internet connection la the type of high-speed Internet connection they have. consumer decides to have high speed Internet access) = 50 Using cable for Internet connection Using DSL for Internet connection Using other (satellite & wireless) for Internet connection Make a purchase online once a month given that user has a cable connection Make a purchase online once a month given that user has a DSL connection Make a purchase online once a month given that user has a satellite or wireless connection Proportion of High-Speed Internet Users 50% 40% 10% 20% 40% 25% 1. Should the proportions of the market share for high-speed Internet consumers using cable. DSL, or other sum to one? Should the proportions of those consum make a monthly purchase online given their type of high-speed connection also sum to one? Why? 2. What is the probability that a high-speed Internet consumer has a cable connection and also makes a monthly purchase online? What is the probability that the consumer has a DSL connection and makes a monthly purchase online? What is the probability that the consumer has a satellite or wireless connection and makes a monthly purchase online? 3. What is the probability that a high-speed Internet consumer will make a monthly pur- chase online? 4. Suppose that it is known that a high-speed Internet consumer makes a monthly pur- chase online. What is the probability that the consumer has a cable connection? A DSL connection? A satellite or wireless connection