Question

the table below shows the discrete probability distribution of the random variable x. find the mean of the random variable.

x	1	2	3

find the mean of the random variable.
μ = \boxed{} (round to two decimal places as needed.)

Explanation:

Step1: Recall the formula for the mean of a discrete random variable

The formula for the mean \(\mu\) of a discrete random variable \(X\) is \(\mu=\sum_{i}x_{i}P(X = x_{i})\).

Step2: Calculate the sum

We have \(x_1 = 1\), \(P(X = 1)=0.0\); \(x_2 = 2\), \(P(X = 2)=0.1\); \(x_3 = 3\), \(P(X = 3)=0.3\).

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Answer:

\(1.1\)