\fExample: playing the lottery Imagine a simple lottery where you pay $1 for a ticket. and then you choose a number between 0 and 999, inclusive A number between D and 999 is then randomly chosen. If it is your number. you win $800. Otherwise. you win nothing. I Let X be your net money earned by playing this lottery. What is the probability distribution of X? I What is the mean of X? I Would you play this lottery? I If you played this lottery ten days in a row, would you choose the same number every day. ten different numbers, or something in between