The wave function of a particle is ψ(x)={b(1+x)2−1mm≤x≤0mmc1−x−−−−√0mm≤x≤1mm}ψ(x)={b(1+x)2−1mm≤x≤0mmc1−x0mm≤x≤1mm} and z

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The wave function of a particle
is ψ(x)={b(1+x)2−1mm≤x≤0mmc1−x−−−−√0mm≤x≤1mm}ψ(x)={b(1+x)2−1mm≤x≤0mmc1−x0mm≤x≤1mm} and
zero elsewhere.
PART B: What is the probability that the particle will be found
to the right of the origin?
Hint 1 for Part B. The probability of finding a particle in
a region of space
Determine the constants bb and cc from the
normalization condition. Then, integrate the probability density
over the space region given.

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Please show all work, thank you!
The wave function of a particle is S 6(1 + 2)2 -1 mm<r <0 mm (x) = \/1-2 0 mm <3 <1 mm elsewhere. and zero