Suppose $20 \%$ Of All Heart Transplant Patients Do Not Survive the Operation

Suppose $20 \%$ of all heart transplant patients do not survive the operation.
a. Think about taking repeated random samples of 371 patients from this population.
Describe how the sample proportion who die would vary from sample to sample. (Hint: Be sure to refer to the shape, center, and spread of its sampling distribution.) Also include a well-labeled sketch to represent this distribution.
b. Suppose you take a random sample of 371 heart transplant patients. Determine the probability that the sample proportion who die would be .213 or higher.