Question

Find the mean of this probability distribution. Round your answer to one decimal place._ x | P (X) _ 0 | 0.3 _ 1 | 0.05 _ 2 | 0.2 _ 3 | 0.45

Answer 1

To find:

The mean of the given probabiity distribution.

Solution:

It is known that the mean of a probability distribution is given by:

$Mean=\sum x\cdot P(x)$

For the question, the mean is:

$\begin{gathered} Mean=0\times0.3+1\times0.05+2\times0.2+3\times0.45 \\ =0+0.05+0.4+1.35 \\ =1.8 \end{gathered}$

Thus, the mean is 1.8.