(i) Example from Histogramming (Physics) Events---I

• Suppose we select a sample of events from some set,

• e.g., the sample may be those falling into some bin of a histogram.

• We wish to estimate fraction of events with given property.

• Define random variable f by

  

• Write

  g=1 Event in Given Histogram

  g=0 Event Not in Histogram

• is only defined for events that fall in histogram, and

  event in particular bin

  event does not fall in bin

• Let , and