Reference no: EM132461705
While walking around Super Mario World, you encounter some enemies. Enemies pop up one-at-a-time. You may assume that these encounters are independent. There are 4 potential enemies you may run into.
Koopa : Probability = 0.5
Goombah : Probability = 0.3
Chargin Chuck: Probability = 0.15
Boo : Probability = 0.05
a) Suppose you encounter 10 enemies. What is the probability that at least 1 is a Goombah?
b) Suppose you encounter 10 enemies. What is the probability that more than 8 are Koopas?
c) What is the probability that you see your first Chargin Chuck after your tenth encounter?
d) What is the probability that you see your first Boo on your twentieth encounter?
e) What is the probability that you see your second Goombah on your tenth encounter?
f) Suppose you encounter 8 enemies. What is the probability that it is 5 Koopas, 2 Goombas and 1 Boo?