Given the continuous distribution below (a=2, b=12), determine the probability that a random variable will take on a value less than 8.3. Round your answer to 2 decimal places, if applicable. Y=f(x) 0.100 0.075 0.050 0.025 0.000 1 2 4 5 6 7 9 10 11 12 13 14 XGiven the number set: 100, 210, 300, 500, 710 Determine the 58%. (Percentile) Round your answer to the nearest whole number, if applicable. b 174 The probability of Event A is 0.256. The probability of Event B is 0.282. The two events are mutually exclusive. Determine P(A U B). Round your result to 3 decimal places, if applicable. X 0.466Sales Year Increase 1 50% 2 80% 3 66% Given the table above, determine the mean percentage increase over the 3 years. (Caution: Same increase each year arriving at the same result!) Enter your result as a percentage rounded to 2 decimal places, if applicable. bl 55.33 Not an example of a discrete random variable. . O Presidential votes. Population of a city. Number of tickets sold to the Super Bowl. Order fulfillment time. The method helps managers arrive at an optimal solution. prescriptive predictive . O The answer is not among this list. descriptive decision