Please do all of them correctly. I will rate very positive!!

l._.. Questions 2. 05 OQOQOOOQO 10. Exercise 04.05 (Experiments, Counting Rules, and Assigning Probabilities) 4 Question4 of 10 v Check My Work (3 remaining) Suppose an experiment has ve equally likely outcomes: E1,E2,E3,E4, E5. Assign probabilities to each outcome and show that the requirements in equations are satised. P(E,-) = fori=1,2,3,4,5 HE 0rori= 1 2, 3,4, 5 P(E1) + P(E2) + P(E3) + P(E4) + P(E5) = What method did you use? 0 - Select your answer - Check My Work (3 remaining) 01 Icon Key Exercise 04.05 (Experiments, Counting Rules, and Assigning Probabilities) 4 Question 4 of 10 p Submit Assignment for Grading C4D2 mieux my Hulk \\6 AEAAAdHIIIIS} 4. 0 I 5, 3 Students taking the Graduate Management Admissions Test (GMAT) were asked about their undergraduate major and intent to pursue their MBA as a full-time or part-time student. A 6 0 summary of their responses follows. Undergraduate Major 7' . Business Engineering Other Totals Intended Full-Time 369 200 256 825 Enrollment ParthTime Status 154 163 181 498 Totals 523 363 437 1,323 a. Develop a joint probability table for these data (to 4 decimals). Undergraduate Major Business Engineering other Totals Intended Full-Time Enrollment Part-Time Status Totals b. Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the most potential MBA students. - Select your answer - c. If a student intends to attend classes full-time in pursuit of an MBA degree, what is the probability that the student was an undergraduate engineering major (to 4 decimals)? d. If a student was an undergraduate business major, what is the probability that the student intends to attend classes full-time in pursuit of an MBA degree (to 4 decimals)? e. Let F denote the event that student intends to attend classes full-time in pursuit of an MBA degree, and let B denote the event that the student was an undergraduate business major. Are events F and B independent? Justify your answer. , bbbbe P(F|B) Check My Work (3 remaining) 01 Icon Key The Pew Internet & American life project conducted a survey 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." Joint probabilities of responses and age groups are summarized in the following table. Age Not Okay Okay 18-29 0.1472 0.0603 30-49 0.2280 0.0922 50+ 0.4007 0.0716 Round your answers to four decimal places. a. What is the probability a respondent will say she or he is not okay with this practice? 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? c. Given a respondent says she or he is not okay with the practice, what is the probability the respondent is 50 + years old? d. Is the attitude about this practice independent of the age of the respondent? Why or why not? Given a respondent is 30 49 years old, the probability that a respondent is okay with the practice is . The probability that a respondent is okay is . Since the numbers - Select your answer - c equal the events are said to be - Select your answer - c . e. Do attitudes toward this practice differ for respondents who are 18 29 years old and respondents who are 50 + years old? , - Select your answer - respondent is not okay with the practice given that he or she is 50 + years old is because the probability that a respondent is not okay with the practice given that he or she is 18 29 years old is and the probability that a Check My Work (3 remaining) 01 Icon Key