The probability of reaching a certain point value in a popular video arcade game is listed in the table. Given that the table is a probability distribution what is the mean? X, 100, 200, 300, 400, 500, 600, 700, 800. PX, 0.180, 0.051, 0.227, 0.113, 0.090, 0.165, 0.075.
The mean of a probability distribution can be calculated by multiplying each value by its corresponding probability and summing them up.
Mean = 100*0.180 + 200*0.051 + 300*0.227 + 400*0.113 + 500*0.090 + 600*0.165 + 700*0.075 + 800*0
Mean = 18 + 10.2 + 68.1 + 45.2 + 45 + 99 + 52.5 + 0
Mean = 338
Therefore, the mean of the probability distribution is 338.