1. The moan free path in a curtain gas is 5 cm. Consider 10,000 mean fret paths. How many are longer than (a) S cm? (b)10 cm? (c) 20 cm 7 (d) How many arc longer than 3 cm but shorter than S cm? (e) How many are between 4.S and S.S cm long? (f) How many are between 4.9 and 5.1 cm long? (g) How many ore exactly 5 cm long? 2. A large number of throws arc made with a single die. (a) What is the average number of throws between the appearances of a six? At any stage or the process, V that is the averted number of throws (b) before the not appearance of a six, (c) since the last appearance of a six? (d) How do you answer the question raised in Section I G-3; that is, why is the mean free path I and not 2/?