15.3 Exercise 15

Suppose the number of Japanese visitors to Florida in a week is $N 1 \sim$ Poisson (500) and the number of German visitors is $N 2 \sim$ Poisson (300). If 25 percent of the Japanese and 20 percent of the Germans visit Disney World, what is the distribution for the total number D of German and Japanese visitors to the park? Determine $P \left(D \geq k\right)$ for $k = 150 , 155 , \hdots , 245 , 250$.