111 of the population is 65 or older Find the probability th

11.1% of the population is 65 or older. Find the probability that teh following number of persons selected at random from 25 people are 65 or older.

The probability that none are 65 or older is

(type an integer or decimal rounded to the nearest thousandth as needed)

probability 65 or older, p = 0.111

Apply binomial probability distribution:

P(x) = nCx(p)^x(1-p)^(n-x)

probability that none are 65 or older is x = 0 ; n =25

P(0) = 25C0(0.111)^0(1-0.111)^25

=(1-0.111)^25

= 0.889^25

= 0.053