Question

30% of Elm trees have a certain disease. If you sample 80 elm trees, what is the probability that less than 20 trees have the disease?

Answer 1

The probability that less than 20 trees have the disease is; 0.135

How to find the Probability?

The formula for binomial probability is;

P(X = x) = ⁿCₓ * pˣ * (1 - p)⁽ⁿ ⁻ ˣ⁾

We are told that 30% of Elm trees have a certain disease. Thus;

p = 30% = 0.3

n = 80

x = 20

Thus, probability that less than 20 trees have the disease is;

P(X < 20) = P(X = 0) + P(X = 1) + P(X = 2) + ....... + P(X = 19)

Using a binomial probability calculator online gives us;

P(X < 20) = 0.135

Read more about Binomial Probability at; https://brainly.com/question/15246027

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