A survey is conducted to estimate the percentage of pine trees in a forest that are infected by the pine shoot moth. A grid is placed over a map of the forest, dividing the area into 25-foot by 25-foot square sections. One hundred of the squares are randomly selected, and the number of infected trees is recorded for each square. Is this a binomial experiment?

Question

Lea Huff

Social Studies

1 July, 05:24

A survey is conducted to estimate the percentage of pine trees in a forest that are infected by the pine shoot moth. A grid is placed over a map of the forest, dividing the area into 25-foot by 25-foot square sections. One hundred of the squares are randomly selected, and the number of infected trees is recorded for each square. Is this a binomial experiment?

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Pranav · Answer 1

This is not a binomial experiment.

Explanation:

A binomial experiment can be repeated n times, and there can be two possible outcomes - one of them is successful, and the other one is a failure. Each time the experiment is repeated, the chance of success remains the same.

Regarding the example in question, the estimation of infection on pine trees can have several outcomes each time (different percentages), and they don't have the same chance of success since with each trial the sample of trees in the grid is randomly selected.