26. Suppose that in a certain forest, 25% of the trees have squirrel nests. It turns out that the sampling distribution for the proportion of trees with squirrels in samples of 50 trees approximately Normally distributed with a mean of 25% and a standard deviation of 6%. If you take a sample of 50 trees from this forest, what is the probability that fewer than 15% of the trees in you sample have squirrel nests? (a) 0.025 (b) 0.048 (c) 0.452 (d) 0.548 (e) 0.952

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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26. Suppose that in a certain forest, 25% of the trees have squirrel nests. It turns out that
the sampling distribution for the proportion of trees with squirrels in samples of 50 trees
approximately Normally distributed with a mean of 25% and a standard deviation of 6%.
If you take a sample of 50 trees from this forest, what is the probability that fewer than
15% of the trees in you sample have squirrel nests?
(а) 0.025
(b) 0.048
(c) 0.452
(d) 0.548
(e) 0.952
Transcribed Image Text:26. Suppose that in a certain forest, 25% of the trees have squirrel nests. It turns out that the sampling distribution for the proportion of trees with squirrels in samples of 50 trees approximately Normally distributed with a mean of 25% and a standard deviation of 6%. If you take a sample of 50 trees from this forest, what is the probability that fewer than 15% of the trees in you sample have squirrel nests? (а) 0.025 (b) 0.048 (c) 0.452 (d) 0.548 (e) 0.952
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