Solve the following integrals without calculus by recognizing the integrand as related to a known probability distribution

Question:

Solve the following integrals without calculus by recognizing the integrand as related to a known probability distribution and making the necessary substitution(s).

(a)

* e-(2+1)°/18 dar

(b)

L ze-(a-18/2 dz 2 d.r dx

(c)

(d)

for positive integer s and positive real t.

Distribution
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