Monitor three consecutive packets going through an Internet router. Classify each one as either video (v) or data (d). Your observation is a sequence of three letters (each one is either v or d). For example, three video packets correspond to vvv. The outcomes vvv and ddd each have probability 0.2 whereas each of the other outcomes vvd, vdv, vdd, dvv, dvd, and ddv has probability 0.1. Let Nv represent the number of video packets in the three packets you have observed. Describe in words and also calculate the following probabilities: A) P[ N V = 2]
B) P[ N V ≥ 1]
C) P[ { vvd }| N V = 2]
D) P[ { ddv }| N V = 2]
E) P[ N V = 2 | N V ≥ 1]
F) P[ N V ≥ 1 | N V = 2]