Question 42 - Week 2 Practice

Question 42

00:00Est. 3 min

Marks:+3.000.00

Passage

Aman answers a question correctly with probability

\frac{1}{5}

independent of other questions. Suppose he is called for an interview where he can be asked either

1

2

, or

3

questions with probability

\frac{1}{3}

each. Let

X

denote the number of questions he is asked during the interview. Let

Y

denote the number of questions he answers correctly during the interview. Based on the above data, answer the given subquestions.

Question

Find

P(X=Y)

. Enter the answer correct to three decimal places.

Comprehension

Medium Difficulty

16 October 2022

Your answer