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) = kekx
on [0, 8]
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.)