Power companies kill trees growing near their lines to avoid power failures due

Question

Power companies kill trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 15% of sycamore trees. The power company tests the chemical on 200 sycamores. Consider these a SRS from the population of all sycamore trees. What is the probability that no more than 32 trees are killed? a. 0.0571 b. 0.6540 c. 0.3460 d. 0.1598 e. none of these

Explanation / Answer

X:number of trees killed

X~bin(200,.15)

P(X is less than equal 32)= P(X=1)+.....+P(X=32)

=.6958

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