IITM BS Question 15 - Week 2 Practice

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IITM BS Question 15 - Week 2 Practice | Prasnya

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Q15Comprehension2 Marks27 Oct 2024

Passage

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

X_1,X_2

and

X_3

be i.i.d. random variables with the geometric probability mass function

f_X(k)=\begin{cases}\frac{2}{3}\left(\frac{1}{3}\right)^{k-1}, & k=1,2,3,\ldots,\\0, & \text{otherwise.}\end{cases}

Define a new random variable

Z=\max(X_1,X_2,X_3)

. Find the value of

P(Z\le2)

Q15

00:00

27 Oct 2024

Statistics 2 · Week 2

Q15.Define a new random variable

Z=\max(X_1,X_2,X_3)

. Find the value of

P(Z\le2)

.@passage

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