Question: (a)Apply the inverse transform method to generate a random variable from the discrete uniform distribution with p.m.f =0 otherwise[10Marks] (b)Let the random variable Xhave a

(a)Apply the inverse transform method to generate a random variable from the discrete uniform distribution with p.m.f

=0 otherwise[10Marks]

(b)Let the random variable Xhave a p.d.f

=

Generate a random variable using.

(i)The inverse transform method.

(ii)The acceptance-rejection method using the proposal density

[10Marks]

(c)Explain how to generate from the distributionusing the inverse transformation method.[5Marks]

TOTAL: [25Marks]

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