The success rate of corneal transplant surgery is 85%. The surgery is performed on 6 patients....
The success rate of corneal transplant surgery is 85%. The surgery is performed on 6 patients. Let the random variable x = the number of successful corneal transplant surgeries.
Is this a binomial, geometric or Poisson distribution. Justify your answer by verifying the appropriate conditions.
Construct a probability distribution table for x
calculate the mean and variance for the probability distribution.
Homework Answers
Solution:
This is a binomial probability distribution because there are two possible and independent outcomes and there are fixed number of trials. The probability of success remains constant.
The probability distribution for x is:
| X | P(X=x) | Formula |
| 0 | 0.000011 |
 |
| 1 | 0.000387 |
 |
| 2 | 0.005486 |
 |
| 3 | 0.041453 |
 |
| 4 | 0.176177 |
 |
| 5 | 0.399335 |
 |
| 6 | 0.377150 |
 |
calculate the mean and variance for the probability distribution.
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