SOA Exam P Sample Question 364
Study guide: Exam P-1
A two-part machine functions when at least one of its parts is working. Both parts are working today. The future lifetime of each part is exponentially distributed with mean five years. The lifetimes of the parts are independent.
The machine functions one year from now.
Calculate the probability that both parts will be working at that time.
- A)
0.003 - B)
0.409 - C)
0.670 - D)
0.693 - E)
0.819
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