e^{x} & x<0 \\
\cos x & 0 \leq x \leq \pi / 2 \\
0 & x>\pi / 2
\end{array}\right. (a) Find the normalisation constant N assuming it to be real and positive. (b) Sketch the wave function. What is the probability of detecting the particle at x > 0? (c) Compute (p), (p²), and the standard deviation op.
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