In: Statistics and Probability
Rework problem 13 from section 3.2 of your text, involving Example 3.9, with the changes described below. Suppose you have a bag containing one black ball numbered 1, six white balls numbered 2, 3, 4, 5, 6, 7, and seven red balls numbered 8, 9, 10, 11, 12, 13, 14. Fill each of the following blanks with a Y for yes or an N for no: (1) Is the event "drawing a black ball" independent from the event "drawing an even-numbered ball"? (2) Is the event "drawing a black ball" independent from the event "drawing an odd-numbered ball"? (3) Is the event "drawing a white ball" independent from the event "drawing an even-numbered ball"? (4) Is the event "drawing a white ball" independent from the event "drawing an odd-numbered ball"? (5) Is the event "drawing a red ball" independent from the event "drawing an even-numbered ball"? (6) Is the event "drawing a red ball" independent from the event "drawing an odd-numbered ball"?