Question 2 - Week 2 Practice

Question 2

00:00Est. 2 min

Marks:+3.000.00

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}.

Question

Find the value of

f_{XY}(1,0)+f_{XY}(2,0)

Comprehension

Medium Difficulty

26 October 2025