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.
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.