MATH 1113:

Section 6.3 Homework

Answer each question to the best of your ability. Show your calculations (they can be verified on a calculator). Your final answer should be in the form of a complete sentence.

Use a coin to simulate 100 births: Flip the coin 100 times, recording the results after every 10 tosses, and then convert the outcomes to genders of babies (tail = boy and head = girl). Use the results to fill in the following table.

Number of births	10	20	30	40	50	60	70	80	90	100
Proportion of girls

1. What happens to the proportion of girls as the sample size increases?

2. How does this illustrate the law of large numbers?

3. What would you expect the proportion of girls to be in you flipped the coin another 900 times (for a total of 1000 flips)?