1) Find the value of k for which the given function is a probability density function. f(x) = 2k on [−1,1] 2) Find the value of k for which the given function is a probability density function. f(x) =kekxon [08]
3) Your company's new series "Avocado Comedy Hour" has been a complete flop, with viewership continuously declining at a rate of 35% per month. Use a suitable density function to calculate the probability that a randomly chosen viewer will be lost sometime in the next three months. (Round your answer to four decimal places.)