Let the random variable X represent the amount of money won or lost for a player who pays $1 to play a certain carnival game. The following table shows the probability distribution of X.
Amount
-$1
$1
$10
Probability
0.80
0.15
0.05
Which of the following statements is the best interpretation of the mean of X ?
A
In the long run, a player will lose an average of $0.15 per carnival game played.
B
In the long run, a player will gain an average of $0.15 per carnival game played.
с
In the long run, a player will lose an average of $0.80 per carnival game played
D
In the long run, a player will gain an average of $0.80 per carnival game played.
E
In the long run, players will lose $1 about 80 percent of the time.