Starting at time 0, a red bulb flashes according to a Poisson process with rate A = 2. Similarly, starting at time 0, a blue bulb flashes according to a Poisson process with rate A = 1, but only until a nonnegative random time X, at which point the blue bulb "dies!l We assume that the two Poisson processes and the random variable X are {mutually} independent. Suppose that X is an exponential random variable with parameter (and mean) equal to 1. Find the MAP estimate of X, given that there were exactly 5 blue flashes. MAP estimate of X