The table describes a probability distribution for a certain event. Find the mean for the probability distribution. X, 10, 20, 30, 40, 50. PX, 0.534, 0.193, 0.140, 0.085, 0.048. The answers are 144.0, 12.0, 19.2, 4.4.

1 answer

To find the mean for a probability distribution, you need to multiply each outcome (X) by its respective probability (PX), and then sum up these values.

Mean = (10 * 0.534) + (20 * 0.193) + (30 * 0.140) + (40 * 0.085) + (50 * 0.048)

Mean = 5.34 + 3.86 + 4.2 + 3.4 + 2.4

Mean = 19.2

Therefore, the mean for the given probability distribution is 19.2.