IITM BS Question 7 - Week 1 Practice

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IITM BS Question 7 - Week 1 Practice | Prasnya

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Q7Comprehension2 Marks26 Oct 2025

Passage

Based on the above data, answer the given subquestions. A factory produces a certain product. Let

X

be the number of defective products in a day's production and let

Y

be the number of products returned by customers. The marginal PMF of

X

and the conditional distribution of

Y

given

X=x

are given below.

f_X(x)=\begin{cases}0.2, & x=0\\0.5, & x=1\\0.3, & x=2\end{cases};\quad P(Y=y\mid X=x)=\begin{cases}1-\frac{x}{2}, & y=0\\\frac{x}{2}, & y=1\\0, & \text{otherwise}\end{cases}.

Find the value of

f_Y(0)

. Enter the answer correct to two decimal places.

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26 Oct 2025

Statistics 2 · Week 1

Q7.Find the value of

f_Y(0)

. Enter the answer correct to two decimal places.@passage

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