Complete the in-class activity we did on Friday, as far as you can go without using ProbSim. That is,

State what assumptions you need to make about the situation.

For example: For #1 we assumed that birthdays are spread evenly throughout the year and that people in rooms are there by a random process that does not lead to groups whose birthdays are biased toward a particular set of dates.

Describe your method of investigation.

In #1 we set up ProbSim to simulate selecting birthdates at random for 25 people:

• We used the numbers 1 through 365 to represent possible birthdates . We set up ProbSim so that it had 365 labels ("1" through "365") and so that the mixer contained one of each label.
• We set ProbSim to select samples WITH REPLACEMENT. This is because when we select a birthday at random, that birthdate is still available the next time we select another birthdate for the same sample.
• We set ProbSim to select samples of size 25
• We set ProbSim to select 40 samples
• We analyzed the results by directing ProbSim to count all those samples that had the UNORDERED pattern of
  
  V1 V1 * * * * * * * * * * * * * * * * * * * * * * *
  
  This means that we directed ProbSim to count the number of samples that had at least two birthdates the same. (So, it counted 78 118 32 184 118 92 32 ... as one sample that had at least two birthdates the same.)

Results

You really can't do anything for this until you run the simulation. But, it might be useful if you try to ANTICIPATE the results you'll get.