22. Suppose that independent trials, each of which is equally likely to have any of m possible outcomes, are performed until the same outcome occurs k consecutive times. If N denotes the number of trials, show that E[N] = mk − 1 m − 1 Some people believe that the successive digits in the expansion ofπ = 3.14159 ...

are “uniformly” distributed. That is, they believe that these digits have all the?