Rework problem 31 in section 4.2 of your text, involving the selection of two numbers. Assume that you select two 4-digit numbers at random from the set of consecutive integers from 0000 through 9999. The selections are made with replacement and are independent of one another. If the two numbers are the same, you make $700. If they are different, you lose $4. A random variable X is defined as your gain or loss. 1. How many different values are possible for the random variable X?  2. Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order. Enter a loss as a negative number.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Rework problem 31 in section 4.2 of your text, involving the selection of two numbers. Assume that you select two 4-digit numbers at random from the set of consecutive integers from 0000 through 9999. The selections are made with replacement and are independent of one another. If the two numbers are the same, you make $700. If they are different, you lose $4. A random variable X is defined as your gain or loss.

1. How many different values are possible for the random variable X? 

2. Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order. Enter a loss as a negative number.

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