Questions:
1. A particle is constrained to lie along a one-dimensional line segment between 0 and a. The probability of finding the particle along this line segment is :
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A. Find the proportionality constant, ie., normalize the function.
B. Calculate the expectation values of X and X^2 for n=1 and n=2.
C. Find the Variance and standard deviation for a particle with n=1 and 2.
D. What is the probability of finding the particle between 0 and a/2 when n=1 and 2.