SOA Exam P Sample Question 292

Study guide: Exam P-1

Let X and Y be discrete random variables with joint probability function

p(x,y) = \begin{cases} \dfrac{1}{21}, & \text{for } x = 0, 1, \ldots, 5 \text{ and } y = 0, \ldots, x \\ 0, & \text{otherwise.} \end{cases}

Calculate the variance of Y.

• A) 1.67
• B) 2.22
• C) 3.33
• D) 5.00
• E) 5.56

Answer this question and see the worked solution

Concepts tested

• Joint Probability Function
• Variance
• Marginal Probability Function

More questions from this set

• SOA Exam P Sample Question 291
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