Assume that you select two 3-digit numbers at random from the set of consecutive integers from 000 through 999. The selections are made with replacement and are independent of one another. if the two numbers are the same, you make $650. If they are different, you lose $4. a random variable X is defined as your gain or loss. How many different values are possible for the random variable X? Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order

Question

Assume that you select two 3-digit numbers at random from the set of consecutive integers from 000 through 999. The selections are made with replacement and are independent of one another. if the two numbers are the same, you make $650. If they are different, you lose $4. a random variable X is defined as your gain or loss.          How many different values are possible for the random variable X? Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order