An airline tracks data on its flight arrivals. Over the past six months, 70 flights on...
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An airline tracks data on its flight arrivals. Over the past six months, 70 flights on one route arrived early, 150 arrived on time, 15 were late, and 25 were canceled. What is the probability that a flight is early? On time? Late? Canceled? OA. OB. о с. O D. early on time late cancelled early on time late cancelled early on time late cancelled early on time late cancelled Probability 0.30 0.59 0.06 0.05 Probability 0.22 0.592 0.061 0.127 Probability 0.269 0.577 0.058 0.096 Probability 0.72 0.21 0.01 0.06 Row 26 of the Excel file Census Education Data gives the number of employed persons in the civilian labor force having a specific educational level. Find the probability that an employed person has attained each of the educational levels listed in the data. O A. O B. OC. O D. Not a High School Grad Not a High School Grad Not a High School Grad Not a High School Grad 0.095 0.112 0.125 0.105 High School Some College Associate's Bachelor's Advanced Graduate No Degree 0.36 Degree 0.111 Degree 0.231 Degree 0.059 0.144 High School Some College Associate's Bachelor's Advanced Graduate No Degree Degree Degree 0.097 Degree 0.116 0.289 0.164 0.222 High School Some College Associate's Bachelor's Advanced Graduate No Degree Degree Degree Degree 0.22 0.34 0.152 0.089 0.074 High School Some College Associate's Bachelor's Advanced Graduate 0.326 No Degree Degree Degree Degree 0.184 0.098 0.089 0.199 QUESTION 3 A Canadian business school summarized the gender and residency of its incoming class as follows: Gender Canada US Europe Asia Other Male Female 17 18 8 10 a. Construct a joint probability table. b. Calculate the marginal probabilities. Europe Asia Other 0.28736 0.04138 0.03908 0.11494 0.01839 0.23678 0.01839 0.02299 0.21149 0.00920 Europe Asia B. Gender Canada US Other Male 0.25666 0.04021 0.03888 0.11774 0.02539 Female 0.22227 0.01745 0.22909 0.24349 0.10092 125 103 A. Gender Canada US Male Female QUESTION 4 50 92 8 4 Gender Canada US Europe Asia Other Male 0.27456 0.04211 0.03899 0.11511 0.01759 Female O D. Gender Male Female 0.22956 0.01762 0.02300 0.21045 0.00082 Canada US Europe Asia Other 0.27753 0.04264 0.03880 0.12364 0.01900 0.23543 0.01853 0.02421 0.21285 0.00092 Based on the Canadaian business school data: What is the probability that a female student is from outside Canada or the United States? A. 0.48901 B. 0.48848 C. 0.47859 O D. 0.44965 REGION East North South West TOTAL P(Book) P(DVD) 0.543 56 98 43 85 62 99 100 190 261 472 Find the marginal probabilities that a sale originated in each of the four regions and the marginal probability of each type of sale (book or DVD) O A. Marginal Probabilities P(East) P(North) P(South) P(West) P(Book) P(DVD) 0.572 Book O B. Marginal Probabilities P(East) P(North) P(South) P(West) P(Book) P(DVD) 0.553 0.176 0.172 0.220 0.432 0.457 P(Book) P(DVD) 0.578 0.428 OC. Marginal Probabilities P(East) P(North) P(South) P(West) 0.211 0.201 0.222 0.366 0.208 0.180 0.210 0.403 0.447 O D. Marginal Probabilities P(East) P(North) P(South) P(West) 0.241 0.179 0.208 0.372 DVD 0.422 42 42 37 90 211 TOTAL Based on the data from the previous question: Find the conditional probabilities of selling a book given that the customer resides in each region. O A. P(Book | East) 0.571 P(Book | North) 0.506 P(Book | South) 0.626 P(Book | West) 0.526 O B. P(Book | East) P(Book | North) P(Book | South) P(Book | West) OC. P(Book | East) P(Book | North) P(Book | South) P(Book | West) O D. P(Book | East) P(Book | North) P(Book | South) P(Book | West) QUESTION 7 O B. OC. 0.601 0.564 0.639 0.535 Use the Civilian Labor Force data in the Excel file Census Education Data to find the following: a. P(unemployed and advanced degree) b. P(unemployed | advanced degree) c. P(not a high school grad | unemployed) O A. O D. 0.581 0.526 0.646 0.586 0.580 0.558 0.628 0.545 a) P(unemployed and advanced degree) = b) P(unemployed | advanced degree) = c) P(not a high school grad | unemployed) = a) P(unemployed and advanced degree) = b) P(unemployed | advanced degree) = c) P(not a high school grad | unemployed) = a) P(unemployed and advanced degree) = b) P(unemployed | advanced degree) = c) P(not a high school grad | unemployed) = a) P(unemployed and advanced degree) = b) P(unemployed | advanced degree) = c) P(not a high school grad | unemployed) = 0.10089 0.01158 0.23456 0.00199 0.02215 0.25521 0.00109 0.01351 0.24782 0.00099 0.01250 0.23020 QUESTION 8 Using the data in the Excel file Consumer Transpor-tation Survey, develop a cross-tabulation for Gender and Vehicle Driven; then convert this table into probabilities. What is the probability that a respondent is male and drives a minivan? O A. 0.0211 OB. 0.0228 O C. 0.0199 O D. 0.0200 QUESTION 9 Using the same data table from question 8: What is the probability that a female respondent drives either a truck or an SUV? O A. 0.0991 O B. 0.1000 OC. 0.1012 O D. 0.0987 QUESTION 10 Using the same data table from questions 8 & 9: If it is known that an individual drives car, what is the probability that the individual is female? O A. 0.7280 OB. 0.7401 O C. 0.7273 O D. 0.7333 An airline tracks data on its flight arrivals. Over the past six months, 70 flights on one route arrived early, 150 arrived on time, 15 were late, and 25 were canceled. What is the probability that a flight is early? On time? Late? Canceled? OA. OB. о с. O D. early on time late cancelled early on time late cancelled early on time late cancelled early on time late cancelled Probability 0.30 0.59 0.06 0.05 Probability 0.22 0.592 0.061 0.127 Probability 0.269 0.577 0.058 0.096 Probability 0.72 0.21 0.01 0.06 Row 26 of the Excel file Census Education Data gives the number of employed persons in the civilian labor force having a specific educational level. Find the probability that an employed person has attained each of the educational levels listed in the data. O A. O B. OC. O D. Not a High School Grad Not a High School Grad Not a High School Grad Not a High School Grad 0.095 0.112 0.125 0.105 High School Some College Associate's Bachelor's Advanced Graduate No Degree 0.36 Degree 0.111 Degree 0.231 Degree 0.059 0.144 High School Some College Associate's Bachelor's Advanced Graduate No Degree Degree Degree 0.097 Degree 0.116 0.289 0.164 0.222 High School Some College Associate's Bachelor's Advanced Graduate No Degree Degree Degree Degree 0.22 0.34 0.152 0.089 0.074 High School Some College Associate's Bachelor's Advanced Graduate 0.326 No Degree Degree Degree Degree 0.184 0.098 0.089 0.199 QUESTION 3 A Canadian business school summarized the gender and residency of its incoming class as follows: Gender Canada US Europe Asia Other Male Female 17 18 8 10 a. Construct a joint probability table. b. Calculate the marginal probabilities. Europe Asia Other 0.28736 0.04138 0.03908 0.11494 0.01839 0.23678 0.01839 0.02299 0.21149 0.00920 Europe Asia B. Gender Canada US Other Male 0.25666 0.04021 0.03888 0.11774 0.02539 Female 0.22227 0.01745 0.22909 0.24349 0.10092 125 103 A. Gender Canada US Male Female QUESTION 4 50 92 8 4 Gender Canada US Europe Asia Other Male 0.27456 0.04211 0.03899 0.11511 0.01759 Female O D. Gender Male Female 0.22956 0.01762 0.02300 0.21045 0.00082 Canada US Europe Asia Other 0.27753 0.04264 0.03880 0.12364 0.01900 0.23543 0.01853 0.02421 0.21285 0.00092 Based on the Canadaian business school data: What is the probability that a female student is from outside Canada or the United States? A. 0.48901 B. 0.48848 C. 0.47859 O D. 0.44965 REGION East North South West TOTAL P(Book) P(DVD) 0.543 56 98 43 85 62 99 100 190 261 472 Find the marginal probabilities that a sale originated in each of the four regions and the marginal probability of each type of sale (book or DVD) O A. Marginal Probabilities P(East) P(North) P(South) P(West) P(Book) P(DVD) 0.572 Book O B. Marginal Probabilities P(East) P(North) P(South) P(West) P(Book) P(DVD) 0.553 0.176 0.172 0.220 0.432 0.457 P(Book) P(DVD) 0.578 0.428 OC. Marginal Probabilities P(East) P(North) P(South) P(West) 0.211 0.201 0.222 0.366 0.208 0.180 0.210 0.403 0.447 O D. Marginal Probabilities P(East) P(North) P(South) P(West) 0.241 0.179 0.208 0.372 DVD 0.422 42 42 37 90 211 TOTAL Based on the data from the previous question: Find the conditional probabilities of selling a book given that the customer resides in each region. O A. P(Book | East) 0.571 P(Book | North) 0.506 P(Book | South) 0.626 P(Book | West) 0.526 O B. P(Book | East) P(Book | North) P(Book | South) P(Book | West) OC. P(Book | East) P(Book | North) P(Book | South) P(Book | West) O D. P(Book | East) P(Book | North) P(Book | South) P(Book | West) QUESTION 7 O B. OC. 0.601 0.564 0.639 0.535 Use the Civilian Labor Force data in the Excel file Census Education Data to find the following: a. P(unemployed and advanced degree) b. P(unemployed | advanced degree) c. P(not a high school grad | unemployed) O A. O D. 0.581 0.526 0.646 0.586 0.580 0.558 0.628 0.545 a) P(unemployed and advanced degree) = b) P(unemployed | advanced degree) = c) P(not a high school grad | unemployed) = a) P(unemployed and advanced degree) = b) P(unemployed | advanced degree) = c) P(not a high school grad | unemployed) = a) P(unemployed and advanced degree) = b) P(unemployed | advanced degree) = c) P(not a high school grad | unemployed) = a) P(unemployed and advanced degree) = b) P(unemployed | advanced degree) = c) P(not a high school grad | unemployed) = 0.10089 0.01158 0.23456 0.00199 0.02215 0.25521 0.00109 0.01351 0.24782 0.00099 0.01250 0.23020 QUESTION 8 Using the data in the Excel file Consumer Transpor-tation Survey, develop a cross-tabulation for Gender and Vehicle Driven; then convert this table into probabilities. What is the probability that a respondent is male and drives a minivan? O A. 0.0211 OB. 0.0228 O C. 0.0199 O D. 0.0200 QUESTION 9 Using the same data table from question 8: What is the probability that a female respondent drives either a truck or an SUV? O A. 0.0991 O B. 0.1000 OC. 0.1012 O D. 0.0987 QUESTION 10 Using the same data table from questions 8 & 9: If it is known that an individual drives car, what is the probability that the individual is female? O A. 0.7280 OB. 0.7401 O C. 0.7273 O D. 0.7333
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The probability that a flight is early on time late or canceled based on the given data is as follow... View the full answer
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Business Analytics Methods Models and Decisions
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2nd edition
Authors: James R. Evans
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