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 summary of their responses follows.     Business Engineering Other Totals Full-Time 352 197 251 800 Part-Time 150 161 194 505 Totals 502 358 445 1305     Develop a joint probability table for these Use the marginal probabilities of undergraduate major (business, engineering, or other) to comment on which undergraduate major produces the most potential MBA 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? 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? Let A denote the event that the 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 A and B independent? Justify your answer.

The U.S. Coast Guard maintains a database of the number, source, and location of oil spills in the U.S. navigable and territorial waters. The following is a probability distribution for location of oil spill events. [Source: Statistical Abstract of the United States.]   Location Probability Atlantic Ocean 0.008 Pacific Ocean 0.037 Gulf of Mexico 0.233 Great Lakes 0.020 Other Lakes 0.002 Rivers and canals 0.366 Bays and sounds 0.146 Harbors 0.161 Other 0.027   If an oil spill is selected at random from the database, what is the probability:   The oil spill occurred in an ocean?         The oil spill occurred in a lake or harbor?         The oil spill did not occur in a lake, ocean, river, or canal?

Alex surveyed some students at his school, asking about their favorite sport and whether they have a pet. What is the probability that a student in this survey has pets? Has Pets No Pets Total O 0.063 Basketball 16 12 28 O 0.110 Football 90 72 162 O 0.433 Baseball 38 26 64 O 0.567 Total 144 110 254 O 0.642

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. E Click the icon to view the data on business degrees. ..... (a) Find the probability that a randomly selected student is male, given that the student received a business degree. The probability that a randomly selected student is male, given that the student received a business degree, is (Round to three decimal places as needed.) Business Graduates (b) Find the probability that a randomly selected student received a business degree, given that the student is female. The probability that a randomly selected student received a business degree, given that the student is female, is (Round to three decimal places as needed.) Business degrees Nonbusiness degrees Total Male 199,313 600,822 800,135 1,065,757 1,865,892 Female 177,694 888,063 Total 377,007 1,488,885 Print Done