(Conditional Probability HC)A travel company tracked the preferred destinations of 225 travelers who enjoy different types of leisure activities. The data are displayed in a table. Beach Mountains City Outdor Recreation 38 21 12 Reading 32 39 18 TV/Video Games 12 23 30 Part A: Calculate the empirical conditional probability of a traveler who prefers the city, given that they enjoy outdoor recreation. Show all work. (5 points)Part B: Is a traveler user more or less likely to prefer the city if they enjoy outdoor recreation? Justify the answer mathematically. (5 points)

(Conditional Probability HC)A travel company tracked the preferred destinations of 225 travelers who enjoy different types of leisure activities. The data are displayed in a table. Beach Mountains City Outdor Recreation 38 21 12 Reading 32 39 18 TV/Video Games 12 23 30 Part A: Calculate the empirical conditional probability of a traveler who prefers the beach, given that they enjoy TV/video games. Show all work. (5 points)Part B: Is a traveler user more or less likely to prefer the beach if they enjoy TV/video games? Justify the answer mathematically. (5 points)

(Laws of Logic and Valid Arguments MC)Given the statements, use the Law of Syllogism to create a valid argument.p: I plan to get an online certification.q: I take video editing classes.r: I will be a video producer.

(Linear Models LC)The price for chicken and the amount sold are recorded in the table. Chicken price per pound (in dollars) 1.52 1.89 1.99 2.14 2.56 2.78 2.98 3.12 3.49 Chicken sold (in pounds) 25 22 22 20 19 17 15 10 10 The equation ŷ = –7.828x + 37.321 models the data, where x represents the chicken price per pound and ŷ represents the predicted number of pounds sold. For which of the following prices would predicting the amount sold be an extrapolation?

(Addition and Multiplication Rules for Probability MC)There is a 25% chance that a book has a red cover, a 32% chance that a book is fiction, and an 8% chance that a book is fiction with a red cover. Determine the probability that a book has a red cover or is fiction.

(Interpreting Independence LC)P(A) = 0.53 and P(B) = 0.14. Determine P(B|A) if events A and B are independent.

(Interpreting Independence LC)P(A) = 0.33 and P(B) = 0.44. Determine P(B|A) if events A and B are independent.

(Interpreting Independence MC)There is a 25% chance that a book has a red cover, a 32% chance that a book is fiction, and an 8% chance that a book is fiction with a red cover. Determine whether the events “red cover” and “fiction” are approximately independent events. Justify mathematically.

(Applying Two-Way Frequency Tables LC)P(A) = 0.27, P(B) = 0.40, and P(A∩B) = 0.108. Are events A and B independent? Justify the answer mathematically.

(Conditional Probability LC)The probability of event A occurring is 0.27, the probability of event B occurring is 0.19, and the probability of events A and B occurring is 0.05. Determine P(A|B).