Can use the binomial probability formula

Solved Step by Step With Explanation- Chances of Finding Infested Trees

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Solved Step by Step With Explanation- Chances of Finding Infested Trees

Where X is the number of infested trees found. We'll calculate P(X <= 20) using the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

We'll calculate P(X <= 20) by summing up the probabilities for k from 0 to 20. Then, we'll subtract this value from 1 to find P(X > 20).

P(X <= 20) = Σ [ (n choose k) * p^k * (1 - p)^(n - k) ] for k = 0 to 20

Now, subtract this value from 1 to find P(X > 20):

P(X > 20) ≈ 1 - 0.8290 ≈ 0.1710