The probability distribution of the discrete random variable $X$ is given by the following table.

Question

The probability distribution of the discrete random variable $X$ is given by the following table. $x$ 1 2 3 4 5 $P(X=x)$ 0.4 $p$ 0.2 0.07 0.02 Find the value of p. Calculate the expected value of X.

Accepted Answer

$E(X)=1(0.4)+2(0.31)+3(0.2)+4(0.07)+5(0.02)=2.00$.

Complete a discrete probability distribution and calculate expectation.

Complete a discrete probability distribution and calculate expectation.

Solution:

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