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Find the value of k for which the given function is a probability density function.f(x) =ke kx on[0,5] Your company's new series Avocado Comedy Hour

Find the value ofkfor which the given function is a probability density function.f(x) =kekxon[0,5]

Your company's new series "Avocado Comedy Hour" has been a complete flop, with viewership continuously declining at a rate of27%per month. Use a suitable density function to calculate the probability that a randomly chosen viewer will be lost sometime in the nexttwomonths. (Round your answer to four decimal places.)

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