Answer:
[tex]\large\boxed{\large\boxed{-2.06}}[/tex]
Explanation:
1. Write the probability table
X P(X)
-4 0.44
-2 0.24
0 0.23
2 0.09
2. Check that the column of P(X) add up 1
- 0.44 + 0.24 + 0.23 + 0.09 = 1.00
3. Use the formula
[tex]mean=\overline{X}=\sum\limits^4_{i=1} {x_i} P(x_i)[/tex]
4. Substiture and compute
[tex]mean=\overline{X}=(-4)(0.44)+(-2)(0.24+0(0.23)+(2)(0.09=-2.06[/tex]
