Rework problem 31 in section 4.2 of your text, involving the selection of two numbers. Assume that you select two 2-digit numbers at random from the set of consecutive integers from 00 through 99. The selections are made with replacement and are independent of one another. If the two numbers are the same, you make $450. If they are different, you lose $3. A random variableXXis defined as your gain or loss.

How many different values are possible for the random variableXX?

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

Value of X	Probability