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(See Solution) The standard medical treatment for a certain disease is successful in 60% of all cases. Suppose the treatment is given to n = 20 patients. What

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

  1. 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?
  2. 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.
  3. 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?

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