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10/13/22, 1:02 AM Second-Quiz 1: Probability and Statistics 22-23 (M,O,P)1 https://canvas.cmu.edu/courses/29902/quizzes/85270?module_item_id=5178830 1/9 Second-Quiz 1 Due Sep 6 at 11:59pm Points 20 Questions 20 Available after Sep 4 at 12pm Time Limit 90 Minutes Instructions Attempt History Attempt Time Score LATEST Attempt 1 31 minutes 19 out of 20 Score for this quiz: 19 out of 20 Submitted Sep 6 at 10:07pm This attempt took 31 minutes. The questions in this quiz are based on the moderate and challenging questions in HW1, as well as general concepts covered in Module 1. Please select the answer closest to what you believe to be the correct answer in multiple choice questions. The quiz consists of 20 multiple-choice questions. Make sure you have a reliable internet connection during the duration of the quiz. 1 / 1 pts Question 1 In 1.2 which of the following basic outcomes is NOT part of the event "X wins the election"? Each letter in a basic outcome refers to candidate X winning the corresponding swing state; candidate X looses the swing states not listed. FP FW

10/13/22, 1:02 AM Second-Quiz 1: Probability and Statistics 22-23 (M,O,P)1 https://canvas.cmu.edu/courses/29902/quizzes/85270?module_item_id=5178830 2/9 MW Correct! Correct! PMW 1 / 1 pts Question 2 In 1.3 what is the probability that candidate X wins the elections? 0.25 0.4375 0.5 Correct! Correct! 0.625 1 / 1 pts Question 3 In 1.4 what is the probability that candidate X will win the presidential elections? 0.518 0.607 0.698 0.72 Correct! Correct!

10/13/22, 1:02 AM Second-Quiz 1: Probability and Statistics 22-23 (M,O,P)1 https://canvas.cmu.edu/courses/29902/quizzes/85270?module_item_id=5178830 3/9 1 / 1 pts Question 4 In 2.4, what is the probability that both Beth and her luggage make it to Pittsburgh on her scheduled flight? 0.9 0.59 Correct! Correct! 0.56 0.21 1 / 1 pts Question 5 In 2.5, the events = "Beth's flight from Miami arrives ON TIME in Atlanta" and = "Beth makes the connection and her LUGGAGE is there at her arrival in Pittsburgh" are statistically independent. True False Correct! Correct! 1 / 1 pts Question 6 In 2.6, given that Beth made her connection in Atlanta, what is the probability that her luggage is there at her arrival in Pittsburgh? 0.72 Correct! Correct!

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10/13/22, 1:02 AM Second-Quiz 1: Probability and Statistics 22-23 (M,O,P)1 https://canvas.cmu.edu/courses/29902/quizzes/85270?module_item_id=5178830 4/9 0.68 0.59 0.375 1 / 1 pts Question 7 In 2.7, given that Beth made it to Pittsburgh on her scheduled flight and her luggage was not there at her arrival, what is the probability that Beth's flight from Miami was delayed arriving in Atlanta? 0.13 0.23 0.391 Correct! Correct! 0.521 1 / 1 pts Question 8 In 3.2, what is the inventory needed at the Harrisburg warehouse? 158 192 196 Correct! Correct! 220

10/13/22, 1:02 AM Second-Quiz 1: Probability and Statistics 22-23 (M,O,P)1 https://canvas.cmu.edu/courses/29902/quizzes/85270?module_item_id=5178830 5/9 1 / 1 pts Question 9 In 3.2, what is the decrease in inventory achieved by switching to a single warehouse in Harrisburg as compared to (3.1)? 0 24 Correct! Correct! 28 62 1 / 1 pts Question 10 In 4.3, what is the variance of ? 0 Correct! Correct! 2.5 5 6.25 1 / 1 pts Question 11 In 4.4, what is the correlation between and ?

10/13/22, 1:02 AM Second-Quiz 1: Probability and Statistics 22-23 (M,O,P)1 https://canvas.cmu.edu/courses/29902/quizzes/85270?module_item_id=5178830 6/9 -1 Correct! Correct! 0 1 2 1 / 1 pts Question 12 In 4.4, and are independent random variables. True False Correct! Correct! 1 / 1 pts Question 13 In 4.5, what is the variance of ? 7.5 12.5 17.5 22.5 Correct! Correct! 1 / 1 pts Question 14

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10/13/22, 1:02 AM Second-Quiz 1: Probability and Statistics 22-23 (M,O,P)1 https://canvas.cmu.edu/courses/29902/quizzes/85270?module_item_id=5178830 7/9 In 5.3, how many tickets should the airline sell on this 100-seat plane? 111 109 Correct! Correct! 108 102 1 / 1 pts Question 15 In 6.4, what is Moonbucks' expected revenue between 9AM and 10AM? 152 107.7 100 Correct! Correct! 85 1 / 1 pts Question 16 In 6.5, what is the probability that Moonbucks sells 35 coffees or more (all three types combined) between 9AM and 10AM? 0.351 0.649

10/13/22, 1:02 AM Second-Quiz 1: Probability and Statistics 22-23 (M,O,P)1 https://canvas.cmu.edu/courses/29902/quizzes/85270?module_item_id=5178830 8/9 0.709 Correct! Correct! 0.895 1 / 1 pts Question 17 Given two random variables , if , then . True False Correct! Correct! 1 / 1 pts Question 18 are two Poisson random variables. If , then . True Correct! Correct! False 1 / 1 pts Question 19 Let be two events with .

10/13/22, 1:02 AM Second-Quiz 1: Probability and Statistics 22-23 (M,O,P)1 https://canvas.cmu.edu/courses/29902/quizzes/85270?module_item_id=5178830 9/9 If , then . True Correct! Correct! False 0 / 1 pts Question 20 Given two random variables , if , then are independent. True ou Answered ou Answered False orrect Answer orrect Answer Quiz Score: 19 out of 20

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