Gce Model Questions Vol1 2024 Further Mathematics Question 3

Practice objective / multiple choice question 3 from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2024 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 3 GCE_MODEL_QUESTIONS_VOL1 • 2024 • FURTHER_MATHEMATICS • objective

Let \(X\) and \(Y\) be independent exponential random variables with means \(2\) and \(3\) respectively. Find the conditional probability \(\Pr\bigl(X+Y>5 \mid X>1\bigr)\). Express your answer in exact form.

Answer Options

A. 3e^{-4\/3}+2e^{-2}
Correct Answer B. 3e^{-4/3}-2e^{-2}
C. 3e^{-4\/3}-e^{-2}
D. 2e^{-4\/3}-2e^{-2}
Correct Answer
B
Correct Option:
3e^{-4/3}-2e^{-2}

About This Question

This is Gce Model Questions Vol1 2024 Further Mathematics Question 3. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Hard .

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