SOA Exam P Sample Question 382

Study guide: Exam P-1

A company's website consists of 30 pages. Five pages contain low graphical content, ten pages contain moderate graphical content, and fifteen pages contain high graphical content. Four pages are randomly selected from the website without replacement. Let:

X = number of pages selected which contain moderate graphical content, and Y = number of pages selected which contain high graphical content.

Calculate the conditional variance of Y, given that X = 3.

• A) 0.1875
• B) 0.2469
• C) 0.5625
• D) 0.7500
• E) 1.3125

Answer this question and see the worked solution

Concepts tested

• Variance for Conditional and Marginal Distributions
• Hypergeometric Distribution
• Conditional Probability Function

More questions from this set

• SOA Exam P Sample Question 381
• SOA Exam P Sample Question 383