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My uncle plays darts on a circular dart board of radius 20 cm. He assumes a dart lands anywhere on the board with equal probability.
a) What is the probability that his dart lands less than 5 cm from the centre of the board?
b) That his dart lands exactly 5 cm from the centre?
c) My uncle wants to divide his board into ten "doughnuts" defined by circles of radii r0<r1<..<r9<r10 with r0 = 0 and r10=20 . Find the radii of these circles so that a dart has the same probability of landing in each "doughnut".
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To find this, we must realize that we must use the sampling distribution of the mean to carry out the appropriate calculations. The sampling distribution of the mean will have a mean of $36, but a standard error of $8/√16 = $2
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a ponderosa pine forest in colorado has a pine beetle infestation. the beetles bore into a tree and carry a fungus
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