Exam P Practice Problem 91 – Reviewing a Group of Policyholders

Problem 91-A

A life insurance actuary reviewed a group of policyholders whose policies or contracts were inforce as of last year. The actuary found that 12% of the policyholders who had only a life insurance policy did not survive to this year and that 7.5% of the policyholders who had only an annuity contract did not survive to this year. The actuary also found that 5.9% of the policyholders who had both a life insurance policy and an annuity contract did not survive to this year.

In this group of policyholders, 65% of the policyholders had a life insurance policy and 57% of the policyholders had an annuity contract. Furthermore, each policyholder in this group either had a life insurance policy or an annuity contract.

What is the percentage of the policyholders that did not survive to this year?

      \displaystyle (A) \ \ \ \ \ \ \ \ \ \ \ \   7.8 \%

      \displaystyle (B) \ \ \ \ \ \ \ \ \ \ \ \   9.0 \%

      \displaystyle (C) \ \ \ \ \ \ \ \ \ \ \ \   12.0 \%

      \displaystyle (D) \ \ \ \ \ \ \ \ \ \ \ \   13.4 \%

      \displaystyle (E) \ \ \ \ \ \ \ \ \ \ \ \   25.4 \%

\text{ }

\text{ }

\text{ }

\text{ }

________________________________________________________

Problem 91-B

A sport coach in a university tracks a group of athletes. The coach finds that 36% of the athletes who play soccer only are first year university students and that 20% of the athletes who are involved only in track and field are first year university students. The coach also discovers that 27% of the athletes participates in both soccer and track and field are first year university students.

According to university records, 45% of the athletes in this group play soccer and 68% of the athletes in this group participate in track and field. Each of the athletes in this group either plays soccer or participates in track and field.

Out of this group of athletes, what is the percentage of the athletes that are not first year university students?

      \displaystyle (A) \ \ \ \ \ \ \ \ \ \ \ \   64 \%

      \displaystyle (B) \ \ \ \ \ \ \ \ \ \ \ \   67 \%

      \displaystyle (C) \ \ \ \ \ \ \ \ \ \ \ \   70 \%

      \displaystyle (D) \ \ \ \ \ \ \ \ \ \ \ \   74 \%

      \displaystyle (E) \ \ \ \ \ \ \ \ \ \ \ \   80 \%

________________________________________________________

\text{ }

\text{ }

\text{ }

\text{ }

\text{ }

\text{ }

\text{ }

\text{ }

________________________________________________________

Answers

________________________________________________________

\copyright \ 2014 \ \ \text{ Dan Ma}

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: