SOA Exam P Sample Question 521
Study guide: Exam P-1
An insurance company only sells auto insurance and property insurance. Total annual auto claims, X, follow a normal distribution with a mean of 15 and a standard deviation of 4. Total annual property claims, Y, follow a normal distribution with a mean of 20 and a standard deviation of 5.
The variables X and Y are independent.
Calculate the probability that the total overall claims, X + Y, is less than 45.
- A)
0.60 - B)
0.71 - C)
0.87 - D)
0.94 - E)
0.99
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