A bank has the following data on the gender and marital status of 400 customers. An experiment consists of selecting one of these customers at random.
Male Female Total
Single 40 60 100
Married 200 100 300
Total 240 160 400
A. What is the probability of selecting a customer who is single?
B. What is the probability of selecting a customer who is married and male?
C. What is the probability of selecting a customer who is married or male?
D. If a customer is male, what is the probability that he is single?
E. Are gender and marital status independent events? Show proof.