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Statistical Computing · Quiz 1 · May 2025

Statistical Computing · Quiz 1 · May 2025

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Question 230 MCQ · 0.0 marks

Source diagram or notation
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Useful Data has been mentioned above.
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This data attachment is just for a reference & not for an evaluation.

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Question 231 MCQ · 2.0 marks

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We consider these values as i.i.d U (0, 1) because the histogram shows an almost perfect uniform distribution.
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The trace plot shows that the generated random values are not independent.
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The trace plot shows that the generated random values are independent.
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We consider these values as i.i.d. U (0, 1) because the trace plot shows a random pattern.

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Question 232 MSQ · 2.0 marks

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Question 233 MSQ · 3.0 marks

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Question 234 NAT · 4.0 marks

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Question 235 NAT · 3.0 marks

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Based on the above data, answer the given subquestions.
Find the probability of acceptance for U[0, 2] as a proposal distribution. Enter the answer correct to two decimal places.

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Question 236 NAT · 2.0 marks

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Based on the above data, answer the given subquestions.
Find the expected number of loops for an acceptance when U[0, 1] is considered as a proposal distribution. Enter the answer correct to one decimal place.

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Question 237 MCQ · 2.0 marks

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Based on the above data, answer the given subquestions.
Which proposal distribution would be a better choice?
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U [0, 1] is better since it gives a larger value of c than U [0, 2].
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U [0, 2] is better since it gives a smaller value of c than U [0, 1].
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U [0, 1] is better since it gives a smaller value of c than U [0, 2].
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Both proposal distributions are equally effective.

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Question 238 MCQ · 3.0 marks

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What will be the distribution function of X?
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Question 239 MCQ · 2.0 marks

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Question 240 NAT · 1.0 marks

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What is the value of P(X = 2)? Enter the answer correct to two decimal places.

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Question 241 MSQ · 2.0 marks

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Choose the correct options from the following. Select all that apply.
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Question 242 MCQ · 2.0 marks

Source diagram or notation
Identify the target distribution.
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Normal(0, 1)
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Cauchy distribution
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t-distribution with 2 degrees of freedom
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t-distribution with 3 degrees of freedom

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Question 243 NAT · 2.0 marks

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Find the estimate of the probability of acceptance using the given code. Enter the answer correct to three decimal places.

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