SOA Exam P Sample Question 457

Study guide: Exam P-1

Let X denote the number of illnesses a person experiences during a one-year period. The probability function of X is:

If X = 0, then the person makes no doctor visits during the one-year period. If X = k, for k = 1, 2, 3, then the number of doctor visits is Poisson distributed with mean k.

Calculate the probability that the person makes at least one doctor visit during the one-year period.

• A) 0.18
• B) 0.39
• C) 0.61
• D) 0.72
• E) 0.89

Answer this question and see the worked solution

Concepts tested

• Conditional Probability Function
• Poisson Distribution
• The Law of Total Probability
• Conditional Probability

More questions from this set

• SOA Exam P Sample Question 456
• SOA Exam P Sample Question 458