The Loch Ness monster is a fearsome dragon-like beast, but fortunately it is rarely seen. It is,

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The Loch Ness monster is a fearsome dragon-like beast, but fortunately it is rarely seen. It is, however, sometimes heard.

The call of the Loch Ness monster is a terrifying screech, with loudness X, measured in Nessiebels. The PDF of X is fX(x) = k x2 for 0 < x < 2, where k is a normalising constant.

a. Find the value of k.

b. Find the CDF, FX(x), for all x ∈ (−∞, ∞).

(Hint: you need to quote three results for different ranges of x.)

c. Sketch the PDF and the CDF.

d. Find the probability that a Loch Ness monster screech is louder than one Nessiebel.

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Mathematics And Statistics For Science

ISBN: 9783031053177

1st Edition

Authors: James Sneyd, Rachel M. Fewster, Duncan McGillivray

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Question Posted: Sep 21, 2024 02:03 PM

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The Loch Ness monster is a fearsome dragon-like beast, but fortunately it is rarely seen. It is,

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