The problem says:
Let be independent events. Show that the probability that none of the occur is less than or equal to exp(- .
I'm confused at where the inequality and the exponent are coming from.
Here is what i've done.
I figured that the P(none happening) = 1 - P(one happening)
P(one happening) = .
Then, P(none) = 1 - .
I think this is right, but where to go from here, I'm not sure.