(Events and Sample Spaces MC)Set A = {engineer, architect, teacher} and Set B = {architect, teacher, mechanic, driver}.Determine the elements in A ∪ B.
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(Combinations and Permutations LC)Calculate the number of pe…
(Combinations and Permutations LC)Calculate the number of permutations given n = 16 and r = 5.
(Addition and Multiplication Rules for Probability LC)P(A) =…
(Addition and Multiplication Rules for Probability LC)P(A) = 0.53, P(B) = 0.21, and P(B | A) = 0.53. Are the events independent? Justify mathematically.
(Logic Operations and Equivalence MC)Use the statements and…
(Logic Operations and Equivalence MC)Use the statements and truth table to determine which statements are equivalent.p: It is a fish.q: It rests at night. p q ∼p ∼q p → q ∼p → ∼q q → p ∼q → ∼p T T F F T T T T T F F T F T T F F T T F T F F T F F T T T T T T
(Interpreting Independence MC)A book publishing company surv…
(Interpreting Independence MC)A book publishing company surveyed 450 customers about their favorite genre and preferred season. The results are displayed in the table. Winter Spring Summer Fall Mystery 75 25 32 48 Romance 14 61 24 36 Sci-Fi 23 2 8 12 Non-fiction 28 22 16 24 Is preferring fall independent of favoring mystery books? Justify mathematically.
(Set Operations and Relations LC)Given A = {1, 4, 5, 6, 7},…
(Set Operations and Relations LC)Given A = {1, 4, 5, 6, 7}, B = {2, 4, 5, 6, 8, 9}, and C = {1, 4, 6, 7, 10}, find A − B.
(Addition and Multiplication Rules for Probability MC)A rest…
(Addition and Multiplication Rules for Probability MC)A restaurant menu includes 5 types of soup, 6 types of sandwiches, 3 types of salad, and 4 types of drinks. How many different combinations of soup, sandwich, salad, and drink can a customer order?
(Laws of Logic and Valid Arguments MC)Use the statements and…
(Laws of Logic and Valid Arguments MC)Use the statements and truth table to determine which argument is valid.p: It rained.q: The streets are wet. Premise 1 Premise 2 Conclusion p q p → q T T T T F F F T T F F T
(Applying Two-Way Frequency Tables MC)A social media company…
(Applying Two-Way Frequency Tables MC)A social media company tracked the professions of 290 users who watched different types of videos and displayed the data in a table. Beauty Tips Contests Interviews Reveals Artist 31 5 11 16 Student 29 15 19 14 Engineer 12 17 21 17 Nurse 8 23 29 23 Is being an engineer independent of watching interviews for these social media users? Justify your conclusion.
(Combinations and Permutations LC)Calculate the number of co…
(Combinations and Permutations LC)Calculate the number of combinations, given n = 7 and r = 3.