Question: The standard medical treatment for a certain disease is successful in 60% of all cases.

a. Suppose the treatment is given to n = 20 patients. What is the probability that the treatment is successful for 70% or more of these patients?

b. Suppose the treatment is given to n = 200 patients. Can you use the normal approximation to the binomial distribution to determine probabilities for this distribution? Briefly explain your answer.

c. If the treatment is given to n = 200 patients, what is the probability that the treatment is successful for 70% or more of these 200 patients?