CAS Exam MAS-I Fall 2018, Question 24

Study guide: Exam MAS-I

The distribution of Y is given as:

F(y) = 1 - e^{-11y}, \quad \text{for } y > 0

Let X = 5(e^Y - 1).

Calculate the mean of X.

• A) At least 0.28, but less than 0.35
• B) At least 0.35, but less than 0.42
• C) At least 0.42, but less than 0.49
• D) At least 0.49, but less than 0.56
• E) At least 0.56

Answer this question and see the worked solution

Concepts tested

• Transformations of Random Variables
• Exponential Distribution
• Expected Value

More questions from this set

• CAS Exam MAS-I Fall 2018, Question 23
• CAS Exam MAS-I Fall 2018, Question 25