Rework problem 25 in section 4.2 of your text, involving the rolling of a die. Assume that the die is weighted so that the probability of a 1 is 0.3, the probability of a 2 is 0.1, the probability of a 3 is 0.1, the probability of a 4 is 0.2, the probability of a 5 is 0.1, and the probability of a 6 is 0.2. You roll the die until the sum of all numbers which have appeared exceeds 3. A random variable X is defined to be the number of rolls. How many different values are possible for the random variable X? 4 (Note: The textbook's version of this problem was solved on The Finite Show. You can view the streaming video of this solution at TFS solution. → Part 2 Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order. Value of X Probability 1 2 3 4

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