PREVIOUS ANSWERS ILLOWSKYINTROSTAT 1. [0/3 Points] DETAILS U and V are mutually exclusive events. P(U) = 0.26 P(V) = 0.35 - Part (a) P(U AND V) = > Part (b) P(U|V) = Part (c) P(U OR V) = Submit Answer Enter an exact number. Viewing Saved Work Revert to Last Response 2. [-/2 Points] DETAILS ILLOWSKYINTROSTAT1 3.3.097.HW. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A blood bank asserts that a person with type O blood and a negative Rh factor (Rh-) can donate blood to any person with any blood type. Their data show that 48% of people have type O blood and 16% of people have Rh-factor; 51% of people have type O or Rh-factor. Part (a) Find the probability that a person has both type O blood and the Rh- factor. Part (b) Find the probability that a person does NOT have both type O blood and the Rh-factor. 3. [-/2 Points] DETAILS ILLOWSKYINTROSTAT1 3.3.098.HW. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER At a college, 72% of courses have final exams and 44% of courses require research papers. Suppose that 31% of courses have a research paper and a final exam. > Part (a) Find the probability that a course has a final exam or a research paper. - Part (b) Find the probability that a course has neither of these two requirements. 4. [-/2 Points] DETAILS ILLOWSKYINTROSTAT1 3.3.099.HW. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER - Part (a) Find the probability that a cookie contains chocolate or nuts (Sean can't eat it). > Part (b) Find the probability that a cookie does not contain chocolate or nuts (Sean can eat it). 5. [-/5 Points] DETAILS ILLOWSKYINTROSTAT1 3.3.100.HW. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A college finds that 10% of students have taken a distance learning class and that 20% of students are part-time students. Of the part-time students, 20% have taken a distance learning class. Let D = event that a student takes a distance learning class and E = event that a student is a part-time student. Part (a) Find P(D AND E). - Part (b) Find P(E | D). Part (c) Find P(D OR E). Part (d) Are D and E independent? Explain. D and E are dependent events because P(D | E) # P(D). D and E are independent events because they are mutually exclusive. D and E are dependent events because P(D AND E) = 0.5. O D and E are independent events because P(D | E) = P(D). > Part (e) Are D and E mutually exclusive? Explain. The events are mutually exclusive because P(D AND E) = 0. The events are not mutually exclusive because P(D AND E) # 0. The events are not mutually exclusive, which means they can be added together, and the sum is not 0.2. The events are mutually exclusive because they are independent. 6. [-/12 Points] DETAILS ILLOWSKYINTROSTAT1 3.4.102.HW.GENERAL. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Three professors at a university did an experiment to determine if economists are more selfish than other people. They dropped 64 stamped, addressed envelopes with $10 cash in different classrooms on the campus. 43% were returned overall. From the economics classes 54% of the envelopes were returned. From the business, psychology, and history classes 35% were returned. R = money returned E = economics classes O = other classes Part (a) Write a probability statement for the overall percent of money returned. P(0)=( > Part (b) Write a probability statement for the percent of money returned out of the economics classes. P ? - Part (c) Write a probability statement for the percent of money returned out of the other classes. P ? > Part (d) Is money being returned independent of the class? Explain. Money being returned is not independent of the class because 0.54 0.35 0.43. Money being returned is independent of the class because the probabilities do not overlap. Money being returned is not independent of the class because the probability that money is returned is affected by which class it is dropped in. Money being returned is independent of the class because the probability that one class returns the envelope does not affect the probability of another class returning the envelope. - Part (e) Based upon this experiment, do you think that economists are more selfish than other people? Explain. Economists are not more selfish than other people because the economics class returned 54% of the envelopes in their classes. Economists are not more selfish than other people because everyone is selfish. Economists are not more selfish than other people because they returned 54% of the 64 envelopes that were dropped. Economists are just as selfish as other people because only 43% of the people returned envelopes. MY NOTES ASK YOUR TEACHER PRACTICE AN 7. [-/1 Points] DETAILS ILLOWSKYINTROSTAT1 3.4.104.HW. The table shows the political party affiliation of each of 67 members of the US Senate in June 2012, and when they are up for reelection. Up for reelection: November 2014 November 2016 Democratic Party Republican Party Other Total 20 10 13 24 0 0 Total What is the probability that a randomly selected senator is a Democrat or is up for reelection in November 2016? (Enter your probability as a fraction.) MY NOTES ASK YOUR TEACHER PRACTICE AN 8. [-/1 Points] DETAILS ILLOWSKYINTROSTAT1 3.4.107.HW. The table shows the political party affiliation of each of 67 members of the US Senate in June 2012, and when they are up for reelection. Up for reelection: Democratic Party Republican Party Other Total November 2014 November 2016 20 10 13 24 0 0 Total The events "Democrat" and "Up for reelection in November 2016" are ---Select--- 9. [-/1 Points] DETAILS ILLOWSKYINTROSTAT1 3.4.108.HW. The table shows the political party affiliation of each of 67 members of the US Senate in June 2012, and when they are up for reelection. Up for reelection: Democratic Party Republican Party Other Total November 2014 November 2016 20 10 13 0 24 0 Total The events "Other" and "Up for reelection in November 2016" are ---Select--- + MY NOTES ASK YOUR TE 10. [-/1 Points] DETAILS ILLOWSKYINTROSTAT1 3.4.111.HW. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH The following table of data obtained from Baseball Alamanac shows hit information for four well-known baseball players. Suppose that one hit from the table is randomly selected. Double Triple 136 NAME Babe Ruth Single 1517 Home Run TOTAL HITS 506 714 2873 Jackie Robinson 1054 273 54 137 1518 Ty Cobb 3603 174 295 114 4186 Hank Aaron 2294 624 98 755 3771 TOTAL 8468 1577 583 1720 12348 Find P(hit was made by Jackie Robinson | The hit was a single). (Enter your answer as a fraction.) 11. [-/2 Points] Given P(A) DETAILS BBUNDERSTAT12 4.2.003.MI. = 0.3 and P(B) = 0.5, do the following. (a) If A and B are mutually exclusive events, compute P(A or B). (b) If P(A and B) = 0.2, compute P(A or B). Need Help? Master It 12. [-/2 Points] Given P(A) MY NOTES ASK YOUR TEACHER PRACTICE ANOTH BBUNDERSTAT12 4.2.007.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTH DETAILS = 0.2, P(B) = 0.7, P(A|B) = 0.3, do the following. (a) Compute P(A and B). (b) Compute P(A or B). Need Help? Master It