The option to buy extended warranties is commonplace with the most electronics purchases. But does the type of purchase affect a custimer's willingness to pay extra for an extended warranty? Data for 420 consumers who purchased big screen TVs and laptop computers from a leading electronics retailer are summarized in the table below

Yes No Total

Big Screen TV 30 42 72

Laptop cOMPUTER 145 203 348

Total 175 245 420

a) What is the probability that a consumer purchases an extended warranty?
b) What is the probabilty that a consumer purchases a big screen tv and an extended warranty
c) What is the probabilty that a consumer purchases an exytended warranty given that he/she has purchases a big screen TV?
d) Does it appear that the decision to purchase an extended warranty and type of electronics (big screen TV or laptop computer) purchased are independent? Explain