Question 4 - Week 2 Practice

Question 4

00:00Est. 2 min

Marks:+3.000.00

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

Suppose that on a particular day oven

O_1

and

O_2

are operated and

O_3

is turned off, then find the value of

P(Y=2)

. Enter the answer correct to two decimal places.

Comprehension

Medium Difficulty

26 October 2025

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