IITM BS Question 2 - Week 7 Practice

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IITM BS Question 2 - Week 7 Practice | Prasnya

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Q2Comprehension3 Marks10 May 2026

Passage

Let the random variable

X

represent the number of trials required to achieve a certain outcome in an experiment, where

X \in \{1, 2, 3, 4, 5, 6\}

. The probability that the outcome occurs in 1 to 5 trials is

\theta

each, while the probability that it takes 6 trials is

1 - 5\theta

. A random sample of five independent observations of

X

is recorded as:

4, 2, 5, 3, 1

. Based on the above data, answer the given subquestions.

Find the method of moments estimate of

\theta

for the given sample. Enter the answer correct to one decimal place.

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10 May 2026

Statistics 2 · Week 7

Q2.Find the method of moments estimate of

\theta

for the given sample. Enter the answer correct to one decimal place.@passage

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