7-31. Suppose a random variable X depicts the life of a circuit board component with probability density

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7-31. Suppose a random variable X depicts the life of a circuit board component with probability density function f (x; 0.0005) = -0.0005e−0.0005x, x > 0;

0 elsewhere.

What is the probability that the component will not last more than 1000 hours?

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