An actuary is using a normal approximation to model loss distributions. To calibrate the parameters of the normal distribution, the actuary uses historical loss data. You are given the following:

• The sample mean equals 500
• 10% of the historical losses are larger than 800

Approximate the 95^th percentile of the loss distribution.

1. 678.15
2. 750.33
3. 856.11
4. 884.96
5. 900.25