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ma3014_2025T2_Q1_NA.pdf

Statistical Computing · Quiz 1 · May 2025

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Question 230 MCQ · 0.0 marks

[[IMAGE:cc743ba8914d85d5_3_0]]
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  1. Useful Data has been mentioned above.
  2. This data attachment is just for a reference & not for an evaluation.

A published solution is not available for this question yet.

Question 231 MCQ · 2.0 marks

[[IMAGE:cc743ba8914d85d5_4_1]]
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  1. We consider these values as i.i.d U (0, 1) because the histogram shows an almost perfect uniform distribution.
  2. The trace plot shows that the generated random values are not independent.
  3. The trace plot shows that the generated random values are independent.
  4. We consider these values as i.i.d. U (0, 1) because the trace plot shows a random pattern.

A published solution is not available for this question yet.

Question 232 MSQ · 2.0 marks

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A published solution is not available for this question yet.

Question 233 MSQ · 3.0 marks

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  1. [[IMAGE:cc743ba8914d85d5_6_8]]
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A published solution is not available for this question yet.

Question 234 NAT · 4.0 marks

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    A published solution is not available for this question yet.

    Question 235 NAT · 3.0 marks

    [[IMAGE:cc743ba8914d85d5_7_13]] 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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      A published solution is not available for this question yet.

      Question 236 NAT · 2.0 marks

      [[IMAGE:cc743ba8914d85d5_7_13]] 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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        A published solution is not available for this question yet.

        Question 237 MCQ · 2.0 marks

        [[IMAGE:cc743ba8914d85d5_7_13]] Based on the above data, answer the given subquestions.
        Which proposal distribution would be a better choice?
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        1. U [0, 1] is better since it gives a larger value of c than U [0, 2].
        2. U [0, 2] is better since it gives a smaller value of c than U [0, 1].
        3. U [0, 1] is better since it gives a smaller value of c than U [0, 2].
        4. Both proposal distributions are equally effective.

        A published solution is not available for this question yet.

        Question 238 MCQ · 3.0 marks

        [[IMAGE:cc743ba8914d85d5_9_14]]
        What will be the distribution function of X?
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        1. [[IMAGE:cc743ba8914d85d5_9_15]]
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        2. [[IMAGE:cc743ba8914d85d5_9_16]]
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        3. [[IMAGE:cc743ba8914d85d5_9_17]]
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        A published solution is not available for this question yet.

        Question 239 MCQ · 2.0 marks

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        1. [[IMAGE:cc743ba8914d85d5_10_19]]
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        3. [[IMAGE:cc743ba8914d85d5_10_21]]
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        4. [[IMAGE:cc743ba8914d85d5_10_22]]
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        A published solution is not available for this question yet.

        Question 240 NAT · 1.0 marks

        [[IMAGE:cc743ba8914d85d5_11_23]]
        What is the value of P(X = 2)? Enter the answer correct to two decimal places.
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          A published solution is not available for this question yet.

          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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          1. [[IMAGE:cc743ba8914d85d5_11_24]]
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          2. [[IMAGE:cc743ba8914d85d5_12_25]]
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          A published solution is not available for this question yet.

          Question 242 MCQ · 2.0 marks

          [[IMAGE:cc743ba8914d85d5_13_28]]
          Identify the target distribution.
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          1. Normal(0, 1)
          2. Cauchy distribution
          3. t-distribution with 2 degrees of freedom
          4. t-distribution with 3 degrees of freedom

          A published solution is not available for this question yet.

          Question 243 NAT · 2.0 marks

          [[IMAGE:cc743ba8914d85d5_13_28]]
          Find the estimate of the probability of acceptance using the given code. Enter the answer correct to three decimal places.
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            A published solution is not available for this question yet.