3. (10 points) An insurance company has collected the following data on the gender and marital status of 300 customers. Single ( S) | Married ( M ) | Divorced ( D ) | Totals Female (F) Male (F) Totals A customer is selected at random. Calculate the probability that the selected customer is: a married female not single married given that the customer is male Are marital status and gender independent? Explain using probabilities. (a) (2 points (b) (2 points () ( (d e r 2 points ) (4 points ~ 4. (10 points) Consider the follow probabilities for events A and B. P[A|B] =025 P[A|B']=0.5 P[B] =0.35 Calculate P[A] [HINT: YOU NEED TO USE BAYES' THEOREM TO CALCULATE THIS PROBABILITY, AND DON'T FORGET ABOUT LAW OF TOTAL PROBABILITY]