SOA Exam P Sample Question 380

Study guide: Exam P-1

Consider the following three mutually independent random variables:

• X has a normal distribution with mean 1205 and variance 5.0
• Y and W have normal distributions with mean 2 and variance 0.5

Let L = X - Y - W + 2.

Calculate the probability that L is at least 1200.

• A) 0.69
• B) 0.89
• C) 0.91
• D) 0.93
• E) 0.99

Answer this question and see the worked solution

Concepts tested

• Linear Combinations of Random Variables
• Normal Distribution
• Independent Random Variables

More questions from this set

• SOA Exam P Sample Question 379
• SOA Exam P Sample Question 381