... independen t, thusσ =6×µ−2 3 ln2 3 −1 3 ln1 3 ¶ =3. 8191 .12. The random variable X obtains t he value n with proba b ility pn= qn,where n =1, 2, 3, ,andq =1/2.a) The entropy is given ... −56¢2=6. 3. Let W (m) be the probability for for taking n1steps to the right and n2= N − n1steps to the left, where m = n1− n2,andN = n1+ n2.UsingEyal Buks Thermodynamics and Statist ... N + Oµ1N¶, (1.150)Eyal Buks Thermodynamics and Statist ical Physics 32 1.8. Solutions Set 1m =NXl=1nl, (1.1 43) and nlis state number of oscillator l.a) Calculate the number of...