Approximately 7 out of every 10 patients who undergo heart valve replacement surgery have a successful procedure with no complications. In the past month, there are 16 heart valve replacement...

Approximately 7 out of every 10 patients who undergo heart valve replacement surgery have a successful procedure with no complications. In the past month, there are 16 heart valve replacement surgeries performed at a hospital.

1. What is the probability that exactly half of the 16 surgeries were successful?


2. What is the probability at most 13 surgeries were successful?


3. How many surgeries are expected to be successful?


4. What is the standard deviation of the success rate for this surgery in a sample of size 16?


5. Using the Range Rule of Thumb, what is the approximate range of the number of surgeries one would expect to be successful in the past month?