Lee and Martin compete in an arcade game where the two have to
press a button as soon as an alarm sound is triggered. Who presses
the button first wins. Suppose the response times of Lee and Martin,
X1 and X2, are independent random variables where Xi is
exponentially distributed with rate λi.
a) What is the distribution of the time between the alarm sound and
the first response?
b) What is the probability that the time until the first...