Question 8 - Week 2 Practice

Question 8

00:00Est. 2 min

Marks:+3.000.00

Passage

Based on the data, answer the given subquestions. A hospital tracks the number of patients arriving in the Emergency Room

X

per hour and the number of doctors available

Y

per hour. Suppose

X\sim\operatorname{Poisson}(3)

and

Y

is independent of

X

, with the PMF shown in the table. Let

Z=X-Y

. Assume that the hospital cannot treat more patients than the number of available doctors.

Question

Find the value of

P(Z\le 1\mid Y=3)

. Enter the answer correct to three decimal places.

Comprehension

Medium Difficulty

13 July 2025

Your answer