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.

1. 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.
2. 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
1. Convert each frequency into a relative frequency and record in the empirical probability column.
2. Find the classical probability for each value of X (use the calculator) and record.
3. Using the empirical and classical probabilities, find the mean, variance, and standard deviation (use the PDIST program).
 Sample Theoretical Mean Std. Deviation Variance
1. Are the classical and empirical values close to each other?

2. 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
1. Total the frequencies for each value of X and convert into a relative probability.
2. Using the empirical and classical probabilities, find the mean, variance, and standard deviation (use the PDIST program).
 Sample Theoretical Mean Std. Deviation Variance
1. Whose values are closer to the theoretical values? Yours or the combined results?

2. What law says that if entire classes results were combined, the results would be closer to the theoretical values.

3. 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?