Question 1:

4. [-15.5 Points] - ASWSBE14 5.E.01Z. 0/2 Submissions Used ASK YOUR TEACHER Spectrum provides cable television and intemet service to millions of customers. Suppose that the management of Spectrum subjectively assesses a probability distribution for the number of new subscribers next year in the state of New York as follows. 100,000 0.05 200,000 0.20 300,000 0.25 400,000 0.30 500,000 0.10 600,000 0.10 (a) ls this probability distribution valid? Explain. This probability distribution valid because forx = 100,000, 200,000, 300,000, 400,000, 500,000, 600,000. Also, 2 x) = C] . (b) What is the probability Spectrum will obtain more than 400,000 new subscribers? :] (c) What is the probability Spectrum will obtain fewer than 200,000 new subscribers? :] The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied). Probability Job Satisfaction IS Senior IS Middle Score Executives Managers 0.06 0.04 N 0.09 0.10 3 0.04 0.13 4 0.43 0.45 5 0.38 0.28 (a) What is the expected value of the job satisfaction score for senior executives? (b) What is the expected value of the job satisfaction score for middle managers? (c) Compute the variance of job satisfaction scores for executives and middle managers. executives middle managers (d) Compute the standard deviation of job satisfaction scores for both probability distributions. (Round your answers to two decimal places.) executives middle managers (e) Compare the overall job satisfaction of senior executives and middle managers. The average score for senior executives is ---Select--- V the middle managers score. The standard deviation for senior executives is [---Select--- V ) the middle managers standard deviation.Employee retention is a major concern for many companies. A survey of Americans asked how long they have worked for their current employer. Consider the following example of sample data of 2000 college graduates who graduated five years ago. Time with Number Current Employer (years) 1 504 2 388 W 312 4 216 5 580 Let x be the random variable indicating the number of years the respondent has worked for her/his current employer. (a) Use the data to develop an empirical discrete probability distribution for x. X f(x) 2 3 4 5 (b) Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. Since f(x) [? ) 0 for all values of x and \\ f(x) = , this --Select--- V satisfy the conditions for a valid discrete probability distribution. (c) What is the probability that a respondent has been at her/his current place of employment for more than 3 years?A survey was conducted that included several questions about how internet users feel about search engines and other websites collecting information about them and using this information either to shape search results or target advertising to them. In one question, participants were asked, "If a search engine kept track of what you search for, and then used that information to personalize your future search results, how would you feel about that?" Respondents could indicate either "Would not be okay with it because you feel it is an invasion of your privacy" or "Would be okay with it, even if it means they are gathering information about you." Frequencies of responses by age group are summarized in the following table. Age Not Okay Okay 18-29 0.1482 0.0607 30-49 0.2270 0.0910 50+ 0.4005 0.0726 (a) What is the probability a survey respondent will say she or he is not okay with this practice? 0.7757 (b) Given a respondent is 30-49 years old, what is the probability the respondent will say she or he is okay with this practice? (Round your answer to four decimal places.) 0.2852 X (c) Given a respondent says she or he is not okay with this practice, what is the probability the respondent is 50+ years old? (Round your answer to four decimal places.) 0.5163 (d) Is the attitude about this practice independent of the age of the respondent? Why or why not? Yes, because P(okay n 18-29) = 0. Yes, because P(okay | 30-49) = P(30-49 | okay). No, because these events aren't mutually exclusive. O No, because P(okay | 30-49) # P(okay). (e) Do attitudes toward this practice for respondents who are 18-29 years old and respondents who are 50+ years old differ? The attitudes differ . Compared to respondents in the 18-29 age category, respondents in the 50+ age category are more likely v . to say this practice is not okay