Problem 4 (21 points):   Based on a survey, it was found tha…

Problem 4 (21 points):   Based on a survey, it was found that 26% of people have a pet bird, 56% of people have a pet dog and 9% of people have both a pet bird and a pet dog. (4 points) What is the probability that a person had a pet dog, given they had a pet bird? (4 points) What is the probability a randomly selected person had a pet bird or a pet dog? (3 points) What is the probability that a randomly selected person did not have a pet dog? (5 points) Are the events “having a pet bird” and “having a pet dog” independent? Show all work to support your claim. (5 points) Are the events “having a pet bird” and “having a pet dog” mutually exclusive? Show all work to support your claim.