SOA Exam P Sample Question 492
Study guide: Exam P-1
A machine's lifetime X, in years, is modeled by an exponential distribution. The probability that the machine still functions after one year is 0.80.
F is the cumulative distribution function for X.
Determine F(x) for x \geq 0.
- A)
F(x) = 0.8^x - B)
F(x) = 0.8^x e^{-0.8x} - C)
F(x) = 1 - 0.8^x - D)
F(x) = 1 - e^{-0.8x} - E)
F(x) = e^{-0.8x}
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