Question

Find the mean of the distribution shown below.

X
-4
-2
0
2
P(X)
0.44
0.24
0.23
0.09

Answer 1

`\large\boxed{\large\boxed{-2.06}}`

Step-by-step 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

`mean=\overline{X}=\sum\limits^4_(i=1) {x_i} P(x_i)`

4. Substiture and compute

`mean=\overline{X}=(-4)(0.44)+(-2)(0.24+0(0.23)+(2)(0.09=-2.06`