Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Engineering Posted 21 Jul 2017 My Price 5.00

x-coordinate

We consider the same device as the previous problem, but this time we are interested in the x-coordinate of the needle point-that is, the "shadow," or "projection," of the needle on the horizontal line.

 

(a) What is the probability density p(x)? Graph p(x) as a function of x, from -2r to +2r, where r is the length of the needle. Make sure the total probability is 1.

(b) Compute (x), (x2), and a, for this distribution. Explain how you could have obtained these results from part (c) of Problem 1.11.

Problem 1.11

The needle on a broken car speedometer is free to swing, and bounces perfectly off the pins at either end, so that if you give it a flick it is equally likely to come to rest at any angle between 0 and π.

(a) What is the probability density, (θ)?

(b) Compute (θ), (θ2), and a, for this distribution.

(c) Compute (sin θ), (cos θ), and (cos2 θ)

Answers

Maurice Tutor
(5)
Status NEW Posted 21 Jul 2017 06:07 PM My Price 5.00

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