I need help completing this PDF and finding the expected value. Thank you

Question

I need help completing the PDF below please:

x	P(X = x)	x · P(X = x)
0	0.1
1	0.4
2	0.3
3	0.2

I need help solving the following:

1. Find the expected value.

Answer 1

Ok. So to find the expected value, you have to find the sum of x*p(x). So without further ado, let's get started:

We have P(X=0)=0.1, P(X=1)=0.4, P(X=2)=0.3, P(X=3)=0.2. So let's find E(X):

0*0.1 + 1*0.4 + 2*0.3 + 3*0.2 = 0 + 0,4 + 0.6 + 0.6 = 1.6

So the expected value is 1.6.

Here you go, Mikayla!