Question

In the table x represents the number of blueberries in Mrs. Muffin Muffins. Calculate the standard deviation of the probability distribution.

x P(x)

10 0.3

11 0.2

12 0.2

13 0.3

Multiple Choice

1.45

11.5

5.75

1.20

Answer 1

Solution :

Mean = X * P(X)

= 10 * 0.3 + 11 * 0.2 + 12 * 0.2 + 13 * 0.3 = 11.5

Standard deviation =

=X ² * P(X) - ²

=  (10² * 0.3 + 11² * 0.2 + 12² * 0.2 + 13² * 0.3 - 11.5²)

= 1.20

Standard deviation = = 1.20