In a study of 20 individuals participating in an experimenta

In a study of 20 individuals participating in an experimental medical procedure the probability of each individual surviving the procedure is .82. If the procedure is performed on all 20 participants at the same time compute the probability that at least one does not survive the procedure.

Solution

x: number of individuals not surviving the procedure

x follows binomial distribution.

n=20

p=1-0.82=0.18(because 0.82 is the probability of surviving, we need its inverese, so subtract with 1.)

P(X>=1)=1-P(x<1)=1-0.018892=0.981108

we find the above probsbility suing binom function in excel.