Suppose now that you know that an arrival process has one of two possible rates - a rate 7 per hour Poisson process (we'll call this "busy" ) or a rate 3 per hour Poisson process (we'll call this "light"). Suppose that prior to taking your measurement, you have the prior distribution that the arrivals are in "busy" mode with chance 0.4 and "light" mode with chance 0.6. Suppose you record 5 arrivals in an hour. Which of the two hypothesis (busy or light) satisfies the MAP criterion