When a computer generates random digits, the probability that any particular digit in the set {0,1,2,... 9} is generated on any individual trial is 1/10= 0.1. Suppose that we are generating digits one at a time and let X= the number of digits that the computer generates to get the first zero.

a) Determine the probability that the first 0 occurs on the fifth random digit generated

b) How many random digits would you expect to have to generate in order to observe the first 0?

c) Calculate and interpret the standard deviation of X.