Please show your work if you upload an image please make sure it is clear and yo

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Please show your work

if you upload an image please make sure it is clear and your writing is legible

Suppose the momentum p of a particle created in a certain nuclear reaction is given by a uniform probability distribution with limits [-4,4] GeV/c :

                                      f(p) = 0     p < -4 GeV/c

                                      f(p) = C   -4 GeV/c < p < 4 GeV/c

                                      f(p) = 0     p > 4 GeV/c

where C is a constant.

(a)   Use the normalization condition to find C (don

Please show your work if you upload an image please make sure it is clear and your writing is legible Suppose the momentum p of a particle created in a certain nuclear reaction is given by a uniform probability distribution with limits [-4,4] GeV/c : f(p) = 0 p

Explanation / Answer

a) integral of f(p) dp = C p from -4 to 4 = 8 C = 1

C = 1/8 c/GeV

b) half the range so 0.5

c) -3 to 3 is length 6

so 6/8 = 3/4 = 0.75

d) -1 to 4 length 5

so 5/8

e) average is mean of f(p) = 0

f) standard dev of uniform = b-a/sqrt(12) = 8/sqrt(12)

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