Question

xP(x)00.2510.320.0530.4Find the mean of this probability distribution. Round your answer to one decimal place.

Answer 1

Given:

The probability distribution table values are given.

To find:

The mean

Explanation:

Using the mean formula,

$\mu=\sum_{\text{ }}^{\text{ }}x\cdot P(x)$

Substituting the given values we get,

$\begin{gathered} \mu=0(0.25)+1(0.3)+2(0.05)+3(0.4) \\ =0+0.3+0.1+1.2 \\ =1.6 \end{gathered}$

Therefore, the mean for the given data is 1.6.

Final answer:

The mean for the given data is 1.6.