Use the following data to answer questions #1 through # 4

Summarizing data from 950 children in the United States:

390 children do chores and receive an allowance.

272 children do but do not receive allowance.

142 Children receive an allowance but do not do chores.

146 children neither receive an allowance nor do chores.

1 Construct a contingency table for the data above

Chores

No Chores

Total

Allowance

No Allowance

Total

2 Determine the probability that a child selected at random:

(A)Does chores.

(B)Receives allowance.

(C)Does chores, given that the child receives allowance.

(D)Receives allowance, given that the child receives chores.

3 Are the two events, a child doing chores and a child receiving allowance, independent or dependent? Why or Why not?

4 Two children are chosen at random without replacement. Find the following possibilities.

(A)Both children do chores

(B)The first child receives allowance but does not do chores, and the second child does chores but does not receive allowance

(C)The first child does chores but does not receive allowance, and the second child receives allowance but does not do chores