Please Help ASAP! 1. A bag contains two blue marbles, two green marbles, and three purple marbles. You randomly select a marble from the bag then roll a standard six-sided number cube. Let A be the event that you select a green marble. Let B be the event that you roll a number less than 3. The P(A∩B)=0.0952. Calculate P(A), P(B). Explain and show how to use those two probabilities to determine if events A and B are independent. Are the events independent? Round each calculation to four decimal places.

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Which number produces a rationale number when multiplied by 1/5

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.