The lifespan of a light bulb manufactured by a certain company is measured by a random variable *X* with the following probability density function,

*f* (*x*) = {0.09*e*−0.09*xx* > 00otherwise

where *x* denotes the life, in hours, of a randomly chosen bulb.

What is the probability that the lifespan of the bulb is between 40 and 80 hours?

(Round your answer to 4 decimal places.)

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