You install 2 new light bulbs: a 60 watt bulb and a 100 watt bulb. Let X be the lifetime of the 60 watt bulb and Y the lifetime of the 100 watt bulb. The package says that the expected lifetime of the 60 watt bulb is an exponential random variable with mean 200 days while the lifetime of the 100 watt bulb is an exponential random variable with mean 100 days. a) Write down the PDFs of X and Y. b) Compute the CDFs of X and Y. c) If fx is the PDF of X and Fy is the CDF of Y then P(X