Question

2. In each part of the problem, state the support, Sx, of X. (a) Assume your baby sleeps for at least 2 hours in a row between feedings at night (wishful thinking, but just assume). Let X be the number of times your baby feeds between 10pm and 7am (with the first feeding at 10:01pm) (b) Assume you roll a pair of dice. Let X be the difference of the two values rolled (assume you always take the biggest value and subtract the smallest value fromit) (c) Assume your doctor asks you if you have ever experienced cluster migraines. Let X represent a "yes" response with -1, a "no" response with 1, and a "not sure" response with 0. (d) Assume you ask your friend how many dogs they have owned. Let X be the number they respond with. (e) Assume you are playing a game in which you must pay S1 to play, but if you win the game you get $3 (nothing else happens if you lose). Let X be the number of times you can play the game, assuming you start with 3 dollars (f) Assume you are playing the same game as in the previous question, but you decide you will only play 3 times. Let X be the number of times you win in a series of 3 games. (g) Assume the same setup as in the previous question (you play the game 3 times; pay $1 to play each time, can win S3 each ti). Let X be your net gain (or loss) at the end of your 3 games Keep in mind that your net gain includes the $1 you pay to play the game each time, e.g. if you play a single game and win, your net gain is S2 since you paid S1 to play but you won S3

Answer 1

$(a)~S_X=\{0,1,2,3,....\}\\ (b)~S_X=\{0,1,2,3,4,5\}\\ (c)~S_X=\{-1,0,1\}\\ (d)~S_X=\{0,1,2,3,....\}\\ (e)~S_X=\{3,6,9,...\}\\ (f)~S_X=\{0,1,2,3\}\\ (g)~S_X=\{-3,0,3,6\}\\$