Consider a family with a mother, father, and two children. Let

A = {mother has asthma}

B = {father has asthma}

C = {first child has asthma}

D = {second child has asthma}

and suppose P(A)=P(B)=0.1, P(C)=P(D)=0.05, P(AB) = 0.02, P(CD) = 0.0025.

2.1 [2 pts] What does AB mean? What does CD mean?

Answer:the

2.2 [2 pts] What does AB mean? What does CD mean?

Answer:

2.3 [2 pts] Calculate P(AB) and P(CD)

Answer:

2.4 [2 pts] Are A and B independent? Why or why not?

Answer:

2.5 [2 pts] What is the probability that the second child has asthma if the first child has asthma? (Hint: consider conditional probability P( | ))

Answer: