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1. A random sample of executives were surveyed about loyalty to their company. One of the questions was, If you were given an offer by another company equal to or slightly better than your present position, would you remain with the company or take the other position? The joint probability distribution of their responses and their length of service of these executives are presented in the following table. Complete questions 1-2. Please show all your steps carefully. Length of Service B Less than 1 Year Loyalty A 1-5 Years 6-10 Years More than 10 years, 0.375 0.15 Would remain 0.15 0.025 Would not remain A 0 0.125 0.075 0.05 (1) Calculate E(AlBb)fa(b). Interpret your results. (2) Calculate var (A)-Σα:0a-E(AJFÍs(a). Interpret your results

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