Use this scenario to answers questions

An insurance company wants to examine the frequency of fraudulent claims for its fire and auto policies. A claims manager gathers all fire and auto claims and classifies each one as fraudulent or non-fraudulent.

Category	Fire	Auto	Total
Fraudulent	6	9	15
Non-fraudulent	14	21	35
Total	20	30	50

Question 1

What is the probability that a randomly selected claim is fraudulent and an auto policy? Round to two decimal places.

Question 2

What is the probability that a randomly selected claim is non-fraudulent given it is an fire policy? Round to two decimal places.

Question 3

What is the probability that a randomly selected claim is fraudulent or a fire policy? Round to two decimal places.

Question 4

Based on the information in the table above, are type of policy and category of fraudulence independent of each other? Justify your answer.