ma3014_2024T1_Q1_NA.pdf

Statistical Computing · Quiz 1 · Jan 2024

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Questions and published explanations below are available without starting a test. Some questions may not have a published solution yet.

Question 109 MCQ · 0.0 marks

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

A published solution is not available for this question yet.

Question 110 MSQ · 2.0 marks

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A published solution is not available for this question yet.

Question 111 MCQ · 2.0 marks

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A published solution is not available for this question yet.

Question 112 MCQ · 3.0 marks

Which among the following method can be used to sample from the Beta(2, 0.5) distribution?

Ratio of Uniform
Box-Muller transformation
Accept-Reject
All of these

A published solution is not available for this question yet.

Question 113 MSQ · 4.0 marks

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c = 1
c = 0.4
c = 0.6
c = 0.7

A published solution is not available for this question yet.

Question 114 MCQ · 2.0 marks

**Use the following information and answer the given subquestions.** [[IMAGE:8616a1a83cf33e66_6_12]]

Which among the following will act as the best proposal distribution for sampling from X?

Binomial(2, 0.3)
Binomial(2, 0.7)
Binomial(2, 0.5)
Binomial(2, 0.1)

A published solution is not available for this question yet.

Question 115 MCQ · 2.0 marks

**Use the following information and answer the given subquestions.** [[IMAGE:8616a1a83cf33e66_6_12]]

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A published solution is not available for this question yet.

Question 116 MCQ · 3.0 marks

**Use the following information and answer the given subquestions.** [[IMAGE:8616a1a83cf33e66_8_18]]

Construct X with distribution F from U using the inverse transform method.

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A published solution is not available for this question yet.

Question 117 NAT · 3.0 marks

**Use the following information and answer the given subquestions.** [[IMAGE:8616a1a83cf33e66_8_18]]

Suppose using the pseudo random generator, we obtain a realization u = 0.2573 of U and we simulate the random variable X obtained in the previous question. What will be the corresponding realization x of the random variable X? Enter the answer correct to two decimal places.

A published solution is not available for this question yet.

Question 118 MCQ · 4.0 marks

**Use the following information and answer the given subquestions.** [[IMAGE:8616a1a83cf33e66_9_23]]

Which among the following are true?

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A published solution is not available for this question yet.

Question 119 NAT · 3.0 marks

**Use the following information and answer the given subquestions.** [[IMAGE:8616a1a83cf33e66_9_23]]

Find the probability of acceptance for the accept-reject. Enter the answer correct to two decimal places.

A published solution is not available for this question yet.

Question 120 MCQ · 3.0 marks

**Study the below code carefully and answer the given subquestions** [[IMAGE:8616a1a83cf33e66_12_28]]

Which of the following are true about the given code snippet?

Multiple Congruential and Composition method are implemented.
Multiple Congruential and Accept-Reject method are implemented.
Mixed Congruential and Composition method are implemented.
Mixed Congruential and Accept-Reject method are implemented.

A published solution is not available for this question yet.

Question 121 MCQ · 4.0 marks

**Study the below code carefully and answer the given subquestions** [[IMAGE:8616a1a83cf33e66_12_28]]

Given code snippet generates a random variable X. Find the probability mass function f(x) of X.

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[[IMAGE:8616a1a83cf33e66_13_32]] **CSD** **Section Id :** 64065351458 **Section Number :** 9 **Section type :** Online **Mandatory or Optional :** Mandatory **Number of Questions :** 13 **Number of Questions to be attempted :** 13 **Section Marks :** 50 **Display Number Panel :** Yes **Section Negative Marks :** 0 **Group All Questions :** No **Enable Mark as Answered Mark for Review and** Yes **Clear Response :** **Maximum Instruction Time :** 0

A published solution is not available for this question yet.