5. Suppose the probability density function of the magnitude X of a dynamic load on 3 +-x 0

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5. Suppose the probability density function of the magnitude X of a dynamic load on
3
+-x 0<x<2
8
a bridge (in newtons) is given by f(x)=
0
otherwise
Find (1) a; (ii) the corresponding c.d.f. F(x); (iii) D(X) and E(X³).
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Transcribed Image Text:5. Suppose the probability density function of the magnitude X of a dynamic load on 3 +-x 0<x<2 8 a bridge (in newtons) is given by f(x)= 0 otherwise Find (1) a; (ii) the corresponding c.d.f. F(x); (iii) D(X) and E(X³). www
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