Answer:
There is a 57.18% probability that you will lose at most 1 of the broccoli plants.
Step-by-step explanation:
For each plant, there are only two possible outcomes. Either they die, or they do not. This means that we can solve this problem using the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem, we have that
There are 18 plants, so .
8% of the plants die before producing any broccoli. So .
Use the binomial formula to find the probability that you will lose at most 1 of the broccoli plants.
This is
There is a 57.18% probability that you will lose at most 1 of the broccoli plants.