28.6k views
0 votes
The table below shows the probability distribution of a random variable Y. Y P(Y) -14 0.61 -13 0.01 -12 0.03 -11 0.12 -10 0.23 What is the expected value of Y? Write your answer as a decimal.

The table below shows the probability distribution of a random variable Y. Y P(Y) -14 0.61 -13 0.01 -12 0.03 -11 0.12 -10 0.23 What-example-1

1 Answer

4 votes

The expected value of the probability distibution is -12.65

Here, we want to get the expected value of the variable y

Mathematically, this is the sum of the products of the individual y value and their probabilities

We have this as;


\Sigma\text{ y}*\text{ p(y)}

Where this is;


\begin{gathered} (-14*0.61)\text{ + (-13}*0.01)\text{ + (-12}*0.03)\text{ + (-11 }*\text{ 0.12) + (-10}*0.23) \\ =\text{ -8.54-0.13-0.36-1.32-2.3 = -12.65} \end{gathered}

User Ron Beyer
by
4.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.