How To Find Mean of Probability Distribution?
Answer: To find the mean of a probability distribution, multiply each possible outcome by its corresponding probability, and then sum up these products.
Mathematically, it is represented as:
Mean(μ) = xi – P(xi)
Where:
- μ is the mean of the probability distribution.
- xi represents each possible outcome.
- P(xi) is the probability of each outcome.
- n is the total number of possible outcomes.
For example, let’s say we have a discrete probability distribution with outcomes {1, 2, 3} and probabilities {0.2, 0.5, 0.3} respectively. Then, the mean is calculated as:
μ = (1×0.2) + (2×0.5) + (3×0.3) =0.2 + 1.0 + 0.9 = 2.1
Therefore, the mean of the probability distribution is 2.1.