Suppose that after extensive research you conclude
that the probability that the superhero will get bored after defeating any single criminal is 10%
independently of any others.
i. Find the expected value and standard deviation of the number of criminals that the superhero
will defeat in one night?
ii. The Superhero Union has a requirement for its members that they have to defeat at least
3500 villains in a year. Estimate the probability that our superhero will stay a member this