Expected Values / Random Variables

geometric(p)

if the probability of success is p=0.1, how many trials (on average) to achieve the first success?

pascal(k,p) - k is # of successes

if the probability of success is p=0.1, how many trials (on average) are needed to achieve 7 successes?

poisson(α) - α = λ*T, λ = 1bus / 5 min, T = 60min

If a bus arrives every 5 minutes, how many buses (on average)
arrive in one hour?

discrete uniform(k, l) -

For a fair six-sided die, what’s the average roll?

binomial(n,p)

If the probability of success is p=0.1, and the number of trials is 50, how many successes (on average) would you expect?