Question 37 - Week 1 Practice

Question 37

00:00Est. 2 min

Marks:+2.000.00

Passage

In a bookstore, there are two book types: Type

1

and Type

2

. Let

X

and

Y

be independent random variables representing the number of Type

1

and Type

2

books sold in a week, respectively. Suppose

X

and

Y

follow the Poisson distribution with averages of

2

and

3

, respectively. Define a new random variable

Z=X+Y

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

Question

Find the value of

P(X=1\mid Z=5)

. Enter the answer correct to two decimal places.

Comprehension

Medium Difficulty

16 July 2023

Your answer