Probability Questions and Answers from a Quiz - Prof. Marlow Q. Lemons, Exams of Statistics

Download Probability Questions and Answers from a Quiz - Prof. Marlow Q. Lemons and more Exams Statistics in PDF only on Docsity! Question 1 0.6 out of 0.6 points Another name for the Fundamental Principle of Counting is the Multiplicative Rule. Selected Answer: False Question 2 1 out of 1 points A sample space is the collection of elements that represent all possible outcomes of an event. Selected Answer: False Question 3 0.6 out of 0.6 points Let A and B be two events from a sample space that are nonempty events. The intersection of these two events is also empty event. Therefore, events A and B are mututally exclusive of each other. Selected Answer: True Question 4 1 out of 1 points Your boss assigned to you a project where you tested the functionality of two beta software programs. Software A and software B were said to crash Windows XP when either or both of them were executed. At the software testing meeting, your boss requested a status on the testing by asking, "What are the chances of Windows XP not crashing when you execute software A ? " The probability that you provided to your boss was a Selected Answer: probability of the complement of only one event. Question 5 1 out of 1 points Everyday, Amber and Bob individually play a game of Solitaire on the graduate student computer that they share. Sometimes they win and sometimes they lose. Let A be the event that Amber wins her game and B be the event that Bob wins his game. Then the event, ( A \/ B )c , says that Selected Answer: both Amber and Bob did not win their games. Question 6 1 out of 1 points As a part-time cable installer, you were given nine house calls to go andinstall new cable boxes. However,in a single day, you can only make four house calls (one at 9am, one at 11am, one at 1pm, and one at 3pm). If you must record on your log which particular house that you wisited (and at what time), there are Selected Answer: between 150 and 4,400 ways to visit four of these houses. Question 7 0.6 out of 0.6 points Since the intersection of events, A /\ B and B /\ A , are the same, it is therefore true that P ( A /\ B ) = P ( B /\ A ) . Selected Answer: True Question 8 1 out of 1 points A political science major analyzed the police stops performed by the Virginia Tech police in 2007 and published the following results in his thesis. He stated that the probability of being ticketed for speeding is 72%, the probability of being ticketed for driving under the influence is 38%, and the probability of being ticketed for speeding or ticketed for driving under the influence is 59%. From this information, the probability of being ticketed for speeding and ticketed for driving under the influence is Selected Answer: between 44% and 78%. Question 9 1 out of 1 points The annual Miss Virginia Tech pageant is sponsored by the Zeta Psi Fraternity. This pageant offers three miscellaneous scholarships (Most Talented, Best Swimsuit, and Best Evening Gown) to the contestants that make it to the finals. Keep in mind that a finalist could win more than one scholarship. If six women made it to the finals, how many ways are there to award these three scholarships? Enter your answer in whole-number format (i.e. DO NOT USE COMMAS OR DECIMALS IN YOUR ANSWER... DO NOT PUT A UNIT ON YOUR ANSWER... JUST GIVE ME THE NUMBER OR IT WILL BE MARKED WRONG). Selected Answer: 216 Note: ENTER YOUR ANSWER IN THE FOLLOWING FORMAT ONLY: .#### Selected Answer: .5155 Question 15 0.8 out of 0.8 points A chemistry professor created a Venn diagram to explain to the class the importance of taking advantage of the resources (the study guide, study session, and practice exam) that prepared them for the last exam. The professor created a survey asking the 97 students that passed the exam to check off the tools that they used to prepare for it. It was found that 30 students used the study guide, 36 used the study session, 50 used the practice exam, 5 used the study guide and practice exam, 7 used the study guide and study session, 10 used the study session and practice exam, and 2 used all three resources. What proportion of the students used the study guide given that they used the study session? Note: ENTER YOUR ANSWER IN THE FOLLOWING FORMAT ONLY: .#### Selected Answer: .1944 Question 16 0 out of 0.8 points A chemistry professor created a Venn diagram to explain to the class the importance of taking advantage of the resources (the study guide, study session, and practice exam) that prepared them for the last exam. The professor created a survey asking the 97 students that passed the exam to check off the tools that they used to prepare for it. It was found that 30 students used the study guide, 36 used the study session, 50 used the practice exam, 5 used the study guide and practice exam, 7 used the study guide and study session, 10 used the study session and practice exam, and 2 used all three resources. What proportion of the students used the study session or the study guide? Note: ENTER YOUR ANSWER IN THE FOLLOWING FORMAT ONLY: .#### Selected Answer: .6289 Question 17 0.8 out of 0.8 points A survey of the Fortune 500 companies reported what their hiring outlook was for the next eighteen months as well as the general company outlook for the economy over the same period of time. The results are presented in the table below. What proportion of the Fortune 500 companies said that they do not have a favorable outlook for the economy? Hiring Outlook Add Jobs No Change Cut Jobs Favorable 100 50 25 Economy Outlook Unknown 50 150 60 Unfavorable 15 10 40 Note: ENTER YOUR RESPONSE IN THE FOLLOWING FORMAT ONLY: .#### Selected Answer: .6500 Question 18 0.8 out of 0.8 points A survey of the Fortune 500 companies reported what their hiring outlook was for the next eighteen months as well as the general company outlook for the economy over the same period of time. The results are presented in the table below. What proportion of the Fortune 500 companies said that they plan not to make any hiring changes or have an unknown outlook for the economy for the next eighteen months? Hiring Outlook Add Jobs No Change Cut Jobs Favorable 100 50 25 Economy Outlook Unknown 50 150 60 Unfavorable 15 10 40 Note: ENTER YOUR RESPONSE IN THE FOLLOWING FORMAT ONLY: .#### Selected Answer: .6400 Question 19 0 out of 1 points The Journal of Human Nutrition and Dietetics not only offers researchers the opportunity to publish work in their quarterly journal, but it also gives them the opportunity to speak at the annual national conference. The judging criteria for any or both of these privileges are competitive. The editor of this journal estimated that you only have a 15% chance of having your paper invited to the annual conference. However, you have six times that chance of getting published in the quarterly journal. If the chance of your research being invited to the annual conference or being published in the quarterly journal is 70%, find the probability of your research being invited to the annual conference given that it was accepted in the quarterly journal. Note: ENTER YOUR RESPONSE IN THE FOLLOWING FORMAT ONLY: .#### Selected Answer: .1050