Question

X 0 P(x) 0.05 0.15 0.3 1 2 3 0.5 Find the mean of this probability distribution. Round your answer to one decimal place. Question Help: Video Message instructor Submit Question

Answer 1

The probability distribution of X says that

X takes value 0 with chance 0.05.

X takes value 1 with chance 0.15.

X takes value 2 with chance 0.3.

X takes value 3 with value 0.5.

We have to find the mean of this probability distribution.

Now, according to the definition of mean,

$E(X)=\sum xP(X=x)$

Where, x are the values that X takes; P(X=x) are their corresponding probabilities.

So, this becomes,

=0+0.05 +1+0.15+2+03+3+0.5

$=0+0.15+0.6+1.5$

$=2.25$

So, the mean of X is 2.25.