Question
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.
Answers
Answered by
GPT 3.5
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.
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.