The following table shows the probability distribution of a discrete random variable $X$. $x$ \(

Question

The following table shows the probability distribution of a discrete random variable $X$. $x$ $-1$ 0 2 3 $P(X=x)$ 0.2 $10k^2$ 0.4 $3k$ Find the value of k. Find the expected value of X.

Accepted Answer

$E(X)=(-1)(0.2)+2(0.4)+3(0.3)=1.5$.

Solve an unknown discrete distribution and calculate its expectation.

Solve an unknown discrete distribution and calculate its expectation.

Solution:

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