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Develop a rejection sampler for this using a uniform

You have a discrete distribution:

p(X=0) = 0.5

p(X=1) = 0.3

P(X=2) = 0.2

Develop an inverse transform sampler for this.

Develop a rejection sampler for this using a uniform distribution as your proposal distribution. What proportion of proposed samples will be rejected?

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Basic Statistics: Develop a rejection sampler for this using a uniform

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Basic Statistics: Develop a rejection sampler for this using a uniform

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