The manager of a casino would like to add a new type of slot machine game to the casino. Given below are the probability distributions for her top four choices. The values of the random variable are the amounts the casino would either gain (positive values) or have to pay out (negative values). Which game would provide the highest expected pay out to the casino? Slot Machine Game A
xx P(X=x)P(X=x) 55 0.750.75 −10−10 0.200.20 −100−100 0.050.05
Slot Machine Game B
xx P(X=x)P(X=x)
22 0.710.71
−5−5 0.230.23
−50−50 0.060.06
Slot Machine Game C
xx P(X=x)P(X=x)
11 0.820.82
−1−1 0.010.01
−50−50 0.170.17
Slot Machine Game D
xx P(X=x)P(X=x)
66 0.760.76
−3−3 0.220.22
−150−150 0.020.02