//  File MIT-Lab-02-05-00-02.txt. Edition 12/29/2012.


//  Lab Specs
//    Title
        Opinion_Poll_Simulation
//    List of Population Proportions
        .1 .9 .1 .5
//    List of Sample Sizes
        1_2_3_4_10_16_25_50_100_200_400
//    List of From Bounds - Decimals
        0.000  1.000  .025  -1.000
//    List of To Bounds - Decimals
        0.000  1.000  .025  -1.000
//    List of From Bounds - Integers
        0 -1 1 -1
//    List of To Bounds - Integers
        0 -1 1 -1


//  Problem Specs
//    ActFrac
//    SampleSize
//    PauseCheckbox(-1 checked 0 cleared)
//    NonRandomSampleCheckbox(-1 visible unchecked, 0 not visible, 1 visible checked)
//    To-FromValues(0 hide, -1 reset values to none, 1 leave current values intact)


` .5 2 0 0 -1
Objective: Exploit the relative frequency interpretation of probability
 to check our calculations for the mean and variance of the estimated
 fraction's probability distribution when a sample size equals 2.
_
As before, the actual population fraction, ActFrac, equals .5. That is, the
 election is a toss up: half the population supports Clint and half does not.
 Note that the sample size of 2 has been selected. 


` .5 2 0 0 -1
1. Calculate the mean and variance of the estimated population fraction's, EstFrac's,
 probability distribution?
_
2. Note that the Pause checkbox is cleared. Click the Start button and then,
 after many, many repetitions click the Stop button. What are the mean
 and variance of EstFrac's numerical values?
_
3. Compare your answers to 1 and 2. In view of the relative
 frequency interpretation of probability, are your answers consistent?