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(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.

(Combinations and Permutations MC)A pet store has 14 types of dog treats. A customer purchases 3 different types of dog treats. Determine how many different 3-treat orders a customer can purchase.

(Conditional Probability LC)The probability of selecting a red marble is 0.41. The probability of selecting a red marble, given that the marble is glass, is 0.59. Interpret the outcome of the conditional probability.

(Logic and Truth Tables MC)Complete the truth table for the given logical statement: ∼p ∨ q

(Linear Models MC)Data collected from real estate agents were used to calculate the model ŷ = 87x + 108,620, where x represents the size of a house in square feet and ŷ represents the predicted selling price of the house in dollars. Using the model, predict the size of a house that sells for $375,000.