The zombie apocalypse has begun,and you are conducting tests to see whether or not members of the population have been infected.The latest reports from the Center for Disease Control indicate that fourteen out of every 1,300 people who have been bitten by a zombie contract the virus that will turn them. On the bitten subjects whom you know have contracted the virus and begun to turn, your test has indicated the presence of the virus 73% of the time. On the normal people in your lab, your test indicates the virus 4%of the time

a.What is the probability that a random person's test will come up positive?

b.If a random person's test comes back positive, what is the chance that they have not actually contracted the virus?

c.If a random person's test comes back negative, what is the chance that they have the virus and will become a zombie?

d.Justify whether or not you think your test is a good one