Question 3 - Week 2 Practice

Question 3

00:00Est. 1 min

Marks:+2.000.00

Passage

Based on the data, answer the given subquestions. A bakery has

3

identical ovens

O_1,O_2,O_3

. Let

X_1,X_2,X_3

represent the number of defective pastries produced per day by ovens

O_1,O_2,O_3

respectively. Assume

X_1,X_2,X_3

are i.i.d.

X

distribution with the PMF shown. Each day, one of the three ovens is randomly shut down for maintenance, while the other two operate as usual. Let

Y

be the total number of defective pastries produced on a randomly chosen day.

Question

What is the range of

Y

Comprehension

Easy Difficulty

26 October 2025