Past statistics suggest that the "success rate" (survival rate five years after the transplant) of heart transplants is about 75%.

Past statistics suggest that the "success rate" (survival rate five years after the transplant) of heart transplants is about 75%. If one randomly selects ten patients who have just received a heart transplant, find the probability that:

a.      all ten patients survive [2 marks]

b.      zero patients survive [2 marks]

c.      at most 4 patients survive [2 marks]

d.      more than 7 patients survive [2 marks]

e.      the majority of patients survive [2 marks]