Worksheet: Distributions functions and averages This worksheet is organized dierently from most others. It alternates between questions (Q) and comments (C). One leads to the next, and you will get the most out of it by diving right in. C 1. 1 Flip a coin 2U times and record the outcome of each ip. How many times did your coin ip result in heads? How oen did you expect it to result in heads? Make a record. Record: _---------- (31.2 Let ije the number of times that you measure outcome j, out ofN measurements. You might be tempted to dene the probability of a measure a particular outcome, pf, as: p; = F eq. 1 (11.1 Does anything about your result surprise you? Answer: Q12 1What is the problem with the denition in eq. 1? Will you always get the same value of p]- if you make N measurements? Problem: C2 We can x this. The way we actually dene probability is with this limit: pi: lim eq.2 Q2 1What range of values can p}- haye (in general}? 1What does it mean ifpj = 1