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Exercises 11 and 12 refer to Chapman's correction. Chapman's correction is a small tweak on the formula used in the capture-recapture method. Using the same three input variables
Use Chapman’s correction to estimate the population of Maui’s dolphins described in Exercise 10. Compare the two answers.
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Excursions in Modern Mathematics (9th Edition)
- a C d 2 1 -1 0 1 2 3 -1 Graph of f'(x) (5) The graph of f'(x), the derivative of f(x), is shown in the figure above. The line tangent to the graph of f'(x) at x=0 is vertical and f'(x) is not differentiable at x = 1. Which of the following statements is true? (a) f'(x) does not exist at x = 0. (b) f(x) has a point of inflection at x = 1. (c) f(x) has a local maximum at x = 0. (d) f(x) has a local maximum at x = 1.arrow_forwardball is drawn from one of three urns depending on the outcomeof a roll of a dice. If the dice shows a 1, a ball is drawn from Urn I, whichcontains 2 black balls and 3 white balls. If the dice shows a 2 or 3, a ballis drawn from Urn II, which contains 1 black ball and 3 white balls. Ifthe dice shows a 4, 5, or 6, a ball is drawn from Urn III, which contains1 black ball and 2 white balls. (i) What is the probability to draw a black ball? [7 Marks]Hint. Use the partition rule.(ii) Assume that a black ball is drawn. What is the probabilitythat it came from Urn I? [4 Marks]Total marks 11 Hint. Use Bayes’ rulearrow_forwardLet X be a random variable taking values in (0,∞) with proba-bility density functionfX(u) = 5e^−5u, u > 0.Let Y = X2 Total marks 8 . Find the probability density function of Y .arrow_forward
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