(Solved): A certain random number generator (RNG) produces integers 1-100 randomly from a distribution with ...

A certain random number generator (RNG) produces integers 1-100 randomly from a distribution with the following probability mass function: $f(x)=\frac{1}{100},x=1,2,\dots ,100$ (a) If a very large list of numbers is produced by the RNG, what is the mean value? What is the variance? (b) What is the probability that the following sequence of three numbers is produced by the RNG, one after the other? $1,1,1$