Based on recent statistics, about 13% of Canadian adults are not adequately vaccinated against COVID-19. Hospital data reveals that 50% of COVID-19 patients not adequately vaccinated will need intensive care while this ratio is only 10% for adequately vaccinated patients. Based on these statistics, answer the following questions.

a) Draw a "tree diagram" and organize the information into the tree.

b) Explain how these statistics indicate that vaccination status and intensive care are not independent.

c) What is the probability that a randomly selected covid-19 patient receive intensive care?

d) What is the probability that a COVID-19 patient who receive intensive care was inadequately vaccinated?