Jordan wants to play a basketball game at a carnival. The game costs the player $5 to play, and the player gets to take two long-distance shots. If they miss both shots, they get nothing. If they make one shot, they get their $5
back. If they make both shots, they get $10 back. Jordan has a 40% chance of making this type of shot.
Here is the probability distribution of X = the number of shots Jordan makes in a randomly selected game, and
M = the amount of money Jordan gains from playing the game.
0
1
2
X = # of shots made
M = money gained
Probability
- $5
$0
$5
0.36
0.48
0.16
Calculate the mean of X.
ux =
shots made