Let X represent the number of times a cat attempts to catch the nest of a bird in the wilderness in a given day. X is Poisson distributed with expected value 5. Consider 6 randomly chosen cats in the area. What is the exact probability that the total number of attempts of all 6 cats in a day is less than 3?

What I did lambda = 5 so P(x<3) =e^-5 + 5e^-5 + (25/2)e^-5

So for 6 cats. (e^-5 + 5e^-5 + (25/2)e^-5)^6

is that right?