If a seed is planted, it has a 95% chance of growing into a healthy plant. If 9 seeds are planted, what is the probability that exactly 3 don't grow?

Question

Round answer to 4 decimal places.

Answer 1

Maritza,

this is a binomial probability question. The "success" here is that the seed doesn't grow, so

p=1-0.95=0.05 q=0.95 n=9 (number of repetitions) k=3 (number of success)

P= C(n,k) * p^k * q^(n-k)

= C(9,3) * 0.05^3 * 0.95^6 = 0.0077 = 0.077%