Question

2. What is the sample proportion of heads in your sample of 40? Report this value to your teacher.

Answer 1

`(18)/(40)=0.45`

Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.

Explanation:

1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.

2) Here are the most common outcomes, as long as we continue on flipping coins.

`(18)/(40)=0.45`

If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5

This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails

`S_(80)=0.503\\S_(120)=0.50`