3. (4pt) X p(x) For a particular probability experiment, the sample space is: = {1,2,3,4,5,6,7,8,9} Additional information: a. b. 1 The even number outcomes are equally likely: P({2})=P({4})=P({6}) = P({8}) The

odd number outcomes are equally likely: It is twice as likely that the experiment results in an even number as an odd number. P({2,4,6,8})= 2P({1,3,5,7,9}) P({1}) = P({3}) = P({5}) = P({7}) = P({9}) For each possible value (1 through 9) calculate its probability. Fill out the following table where x = the result of the experiment. Round each to 3 decimal places. 2 3 4 5 6 7 8 9 Find the probability that this experiment results in a number greater than 4.