SOLUTION: The distribution of the mass of particles emerging from an experiment studying the collisions of high energy particles is Gaussian with a mean 138.2 MeV and STD of 4.58 MeV, but my

Question 802129: The distribution of the mass of particles emerging from an experiment studying the collisions of high energy particles is Gaussian with a mean 138.2 MeV and STD of 4.58 MeV, but my apparatus accepts (detects) only particles in the mass range 129 < M < 149 MeV. What fraction of good events is not detected by my apparatus?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The distribution of the mass of particles emerging from an experiment studying the collisions of high energy particles is Gaussian with a mean 138.2 MeV and STD of 4.58 MeV, but my apparatus accepts (detects) only particles in the mass range 129 < M < 149 MeV. What fraction of good events is not detected by my apparatus?
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z(129) = (129-138.2)/4.58 = -2.0087
z(149) = (149-138.2)/4.58 = 2.3581
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Your aswer: P(x < 129) = P(z < -2.0087) = 0.0223
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Your answer: p(x > 149) = P(z > 2.3581) = 0.0092
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Add to get p(not detected) = 0.0223+0.0092 = 0.0315
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Cheers,
Stan H.
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