SOA Exam P Question 271 | Conditional Exponential Probability

Let X be a random variable with density function
f(x)= 2e^(-2x), x greater than 0 and 0 otherwise
Calculate P(X less than or equal to .5 | X less than or equal to 1.0)
(A) 0.433
(B) 0.547
(C) 0.632
(D) 0.731
(E) 0.865

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