Suppose that 28% of adults in a certain community have received a speeding ticket, that 42% have received a parking ticket, and that 17% have received both a speeding ticket and a parking ticket. Suppose that an adult from this community is randomly selected. 

a. Determine the probability that the person has received at least one ticket of either type. 

b. Determine the probability that the person has received no tickets of either type. 

c. Determine the conditional probability that the person has received a speeding ticket, given that he or she has received a parking ticket. 

d. Are the events that the person has received a speeding ticket and that the person has received a parking ticket independent? Justify your answer, based on the given probabilities. 

e. Are the events that the person has received a speeding ticket and that the person has received a parking ticket mutually exclusive? Justify your answer, based on the given probabilities. 

f. Determine the conditional probability that the person has received both types of tickets, given that he or she has received at least one type of ticket.