(Applying Two-Way Frequency Tables LC)P(A) = 0.84 and P(B) = 0.11 If events A and B are independent, what is the P(A ∩ B)?

(Exponential Models MC)Data were collected in the summer from a group of park rangers about the temperature outside, ranging from 65 to 100 degrees Fahrenheit, and attendance at the park. The results were used to calculate the model ŷ = 19(1.051)x, where x represents the temperature in degrees Fahrenheit and ŷ represents the predicted number of visitors. Using the model, how many visitors would a 75-degree day be predicted to bring?

(Exploring Events Using Probability MC)Set A = {15, 25, 35, 45, 55} and Set B = {15, 55, 75, 95}.Determine the elements in A ∩ B.

(Applying Two-Way Frequency Tables MC)A beverage company surveyed 310 customers about their favorite type of weather and preferred beverage. The results are displayed in the table. Water Coffee Tea Soft Drink Sunny 28 44 16 36 Stormy 14 22 18 8 Snowy 21 33 12 27 Cloudy 7 11 9 4 Is preferring water independent of favoring snowy weather? Justify mathematically.

(Set Operations and Relations MC)Given U = {binder, book, calculator, computer, notebook, pencil, ruler}, A = {book, calculator, pencil}, and B = {binder, calculator, pencil, ruler}. If (A ∩ B)’ = {binder, book, computer, notebook, ruler}, determine A’ ∪ B’.

(Combinations and Permutations LC)Calculate the number of combinations, given n = 16 and r = 3.

(Logic and Truth Tables LC)Given the two statements p and q, write a compound statement using a disjunction. p: It is snowing. q: The trees are still.

(Exploring Events Using Probability LC)Describe all the outcomes of the event from rolling a number of at least 8 on a standard 12-sided die.

(Data Displays LC)Which of the following data sets shows categorical data?

  (Logic Operations and Equivalence MC)Use the statements and truth table to determine which statements are equivalent. p: It is a university. q: It offers a degree in business marketing. 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