SOA Exam P Sample Question 432
Study guide: Exam P-1
A large life insurance company gets a steady inflow of new policyholders each month. In the past, the number of new policyholders per month, N_{\text{past}}, was normally distributed with mean 500, standard deviation \sigma, and P[N_{\text{past}} < 400] = 0.1056.
The company has just undertaken a new marketing strategy, which is projected to have a positive effect on new sales. The projected number of new policyholders per month, N_{\text{future}}, is normally distributed with mean 550 and standard deviation 1.25\sigma.
Calculate P[370 < N_{\text{future}} < 730].
- A)
0.903 - B)
0.928 - C)
0.970 - D)
0.976 - E)
0.985
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