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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...

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) =  {0.09e−0.09xx  > 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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