CAS Exam MAS-I Spring 2018, Question 23

Study guide: Exam MAS-I

You are given the following information:

• X, Y, and Z are independent random variables.
• X, Y, and Z follow exponential distributions with means 2, 4, and 5, respectively.
• A single observation is taken from each of the three random variables.

Calculate the probability that the maximum of the three observed values is less than 6.

• A) Less than 0.20
• B) At least 0.20, but less than 0.30
• C) At least 0.30, but less than 0.40
• D) At least 0.40, but less than 0.50
• E) At least 0.50

Answer this question and see the worked solution

Concepts tested

• Exponential Distribution
• Order Statistics

More questions from this set

• CAS Exam MAS-I Spring 2018, Question 22
• CAS Exam MAS-I Spring 2018, Question 24