Question 11 - Week 2 Practice

Question 11

00:00Est. 2 min

Marks:+3.000.00

Passage

Let

X

and

Y

denote the number of customers arriving at two different service counters (Counter

1

and Counter

2

) in a bank during a one-hour interval. The random variables

X

and

Y

follow Poisson distributions with mean arrival rates of

15

customers per hour at Counter

1

and

25

customers per hour at Counter

2

, respectively. Assume that

X

and

Y

are independent. Based on the above data, answer the given subquestions.

Question

Z

represents the combined total number of customers arriving at both counters during a one-hour interval, then determine the PMF of

Z

Comprehension

Medium Difficulty

23 February 2025