the scatter plot shows the ages of children and how many stuffed animals they own.
what is the range of stuffed animals owned for the cluster?
a. 1 to 16
b. 1 to 28
c. 7 to 10
d. 18 to 20

P(X = 0) = 1

16 , P(X = 1) = 4

16 , P(X = 2) = 6

16 , P(X = 3) = 4

16 , P(X = 4) = 1

16 (1)

Notice that the denominators of the five fractions are the same and the numerators of the five

fractions are 1, 4, 6, 4, 1. The numbers in the numerators is a set of binomial coefficients.

1

16 =

4

0

1

16, 4

16 =

4

1

1

16, 6

16 =

4

2

1

16, 4

16 =

4

3

1

16, 1

16 =

4

4

1

16

We can then write the probability mass function as

Date: November 1, 2005.

1