Question

Find the mean of the distribution shown below.

Answer 1

Answer:

           $\large\boxed{\large\boxed{-2.06}}$

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

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