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4. (1 Point} In quantum mechanics, the x and y-coordinates of a particle conned to the rectangle R : [0, l] x [0, l] are

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4. (1 Point} In quantum mechanics, the x and y-coordinates of a particle conned to the rectangle R : [0, l] x [0, l] are random variables with join probability density function Alain2 (21min) sin2 (21mg), if 0 S m 5 land 0 5 y S 1 f0\": y) = . 0, otherw15e The integers l and n are constants that measure the energy of the particle. Set up (but do not evaluate) a double integral to measure the probability of the particle lies inside the lower left triangle with vertices (0,0), (0,1), and (1,0)

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