If a seed is planted, it has a 80% chance of growing into a healthy plant. If 7 seeds are planted, what is the probability that exactly 4 don't grow

The probability that exactly 4 don't grow is P=0.0287.

Step-by-step explanation:

This random variable can be modeled with a binomial distribution.

The sample size is n=7, the total amount of seeds planted.

The probability of success is p=0.8.

The probability that k seeds grow in the sample is:

If exactly 4 don't grow, this means that exactly 7-4=3 seeds grow.

Then, we have to calculate P(x=3):