Lab Activity 2 
Math 113 
Name : ___________________ 
10 pts 
Intro to Applied Stats 

Materials Needed:
Five Coins.
Simulate a family of five children. For each coin, let "heads" represent a female child and "tails"
represent a male child (or vice versa). Let the random variable X stand for the number of female
children.
 In a family of five children, what different possibilities exist for the number of female
children? Record those values of X (in order) in the table.
 Simulate a family of five children by flipping the five coins. Count
the number of females (heads) and put a tally mark in the table. Repeat
the process until you have generated 64 families and tallied the number of
females in the table.
X 
tally 
freq 
empirical
prob 
classical prob 






























Total 




 Convert each frequency into a relative frequency and record in the empirical probability
column.
 Find the classical probability for each value of X (use the calculator) and record.
 Using the empirical and classical probabilities, find the mean, variance, and standard
deviation (use the PDIST program).

Sample 
Theoretical 
Mean 


Std. Deviation 


Variance 


 Are the classical and empirical values close to each other?
 Transfer your frequencies to the table. Then, find four other people in the class and record
their name and frequencies in the table
X 
Mine 




Total 
Rel Prob 
















































Total 







 Total the frequencies for each value of X and convert into a relative probability.
 Using the empirical and classical probabilities, find the mean, variance, and standard
deviation (use the PDIST program).

Sample 
Theoretical 
Mean 


Std. Deviation 


Variance 


 Whose values are closer to the theoretical values? Yours or the combined results?
 What law says that if entire classes results were combined, the results would be closer to the
theoretical values.
 Compute the theoretical mean, variance, and standard deviation using the formulas from
section 4.4. How do they compare the theoretical mean, variance, and standard deviation
calculated using the classical probabilities?