1 A coin tossed repeatedly. Find the probility distribution of the " run lengths" i.e. the unmber of consecutive heads or tails. In a very long series of tosses, suppose there are N runs of which fx are of length x (e.g. HTTHHHT has N=4, f1=2 f2=1 f3=1) Show that a graph of log fx against x should give an approximate straight line with slope- log2.
呵呵 我觉得不知道N 没法算阿
2 Define the expectation of a function f(X) of a discrete random variable X.
这句话的具体意思我不太清楚.... 是问随机变量函数得期望？？
1 A coin tossed repeatedly. Find the probility distribution of the " run lengths" i.e. the unmber of consecutive heads or tails. In a very long series of tosses, suppose there are N runs of which fx are of length x (e.g. HTTHHHT has N=4, f1=2 f2=1 f3=1) Show that a graph of log fx against x should give an approximate straight line with slope- log2.
