It’s a statistics expected value question. The picture is attached. In addition to finding the expected value, I also need to find the variance, standard deviation, the value of P(X ≥ -1), and P(X ≤ -3).

The Solution:
Given:
Required:
Find the expected value of X.
The formula:
[tex]E(x)=\sum_{i\mathop{=}-4}^0x_ip(x_i)[/tex][tex]E(x)=-4(0.2)+-3(0.3)+-2(0.1)+-1(0.2)+0(0.2)[/tex][tex]E(x)=-0.8-0.9-0.2-0.2+0=-2.1[/tex]Thus,
Answer:
The expected value = -2.1