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# Problem/QM-06024

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If $$\psi(x,y,z)$$is the wave function of a particle in three dimension   write expression for probability that

1. $$x$$ is between $$x_1$$ and $$x_2$$;
2. $$p_z$$ lies between $$p_1$$ and $$p_2$$;
3. Assume that $$\psi(\vec{r}) = R(r) Y_{\ell m}(\theta,\phi)$$. What is the probability that the particle will be found inside a sphere of radius $$R$$? What is the probability that the particle will be found outside the sphere of radius $$R$$?

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