Pls help me answer the attached questions

If the probability of drawing an Ace from a deck of cards is 0.077 and the probability of rolling a \"2\" using a fair die is 0.167, then the probability of drawing an Ace and rolling a \"2\" is: Choose one answer. a. 0.454 b. 0.033 c. 0.013 d. 0.244 Question22 Marks: 1 Enrollment in a particular class for the last four semesters has been 122, 128, 100, and 155 (listed from oldest to most recent). The best forecast of enrollment next semester, based on a three-semester moving average, would be: Choose one answer. a. 135.0 b. 126.3 c. 168.3 d. 127.7 Question23 Marks: 1 Demand for soccer balls at a new sporting goods store is forecasted using the following regression equation: Y = 98 + 2.2X where X is the number of months that the store has been in existence. Let April be represented by X = 4. April is assumed to have a seasonality index of 1.15. What is the forecast for soccer ball demand for the month of April (rounded to the nearest integer)? Choose one answer. a. 123 b. 100 c. 115 d. 107 Question24 Marks: 1 Use the data below and Bayes' theorem to answer: Stat es of Nat ure (Sj) S1 S2 S3 Tota l Prior Probabilities P(Sj) 0.65 0.20 0.15 Conditional Probabilities P (U|Sj) 0.75 0.35 0.20 1.00 What would be the joint probabilities, P(U Sj)? Choose one answer. a. 0.83, 0.12, and 0.05 b. 1.00, 0.59, and 1.00 c. 0.47, 0.49, and 0.04 d. 0.49, 0.07, and 0.03 Question25 Marks: 1 An alcohol awareness task force at a Big-Ten University sampled 200 students after the midterm to ask them whether they went bar hopping the weekend before the midterm or spent the weekend studying, and whether they did well or poorly on the midterm. The following result was obtained: Studying for Exam Went Bar Hopping Did Well on Midterm Exam Did Poorly on Midterm Exam 80 20 30 70 What is the probability that a randomly selected student did well on the midterm or went bar hopping the weekend before the midterm? Choose one answer. a. 15% b. 50% c. 55% d. 90%