Question

A new appendix surgery procedure has an 85% chance of patients recovering well less than two days after the surgery. We will consider this event as a successful surgery. The surgery is performed on six patients. Find the probability of the surgery being successful on exactly two patients. 28. So what is the probability of the surgery being successful on exactly two patients? How do you calculate the probability with this formula: p(X = x) = ncr * p^r * q^(n-r)

Answer 1

Binomial Distribution

n = 6

p = 0.85

q = 1 - p = 0.15

By Binomial Distribution, we have:

                        (1)

By Combination Theory, we have:

                           (2)

Substituting (2) in (1), we get:

So,

Answer is:

0.005486