IITM BS Question 8 - Week 2 Practice

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IITM BS Question 8 - Week 2 Practice | Prasnya

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Q8Comprehension3 Marks13 Jul 2025

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.

Find the value of

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

. Enter the answer correct to three decimal places.

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13 Jul 2025

Statistics 2 · Week 2

Q8.Find the value of

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

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

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