Blog

(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}, 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 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 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 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 combinations, given n = 7 and r = 3.

(Combinations and Permutations MC)A pet store has 13 types of dog treats. A customer purchases 3 different types of dog treats. Determine how many different 3-treat orders a customer can purchase.

(If…Then Statements MC)Given the conditional statement, determine the inverse statement.Statement: If it is summer, then some people are not drinking lemonade.

(Set Operations and Relations LC)Given A = {2, 6, 7, 8} and B = {2, 3, 9}, determine A x B.

(Addition and Multiplication Rules for Probability LC)P(A) = 0.63, P(B) = 0.41, and P(B | A) = 0.63. Are the events independent? Justify mathematically.