Question
THE STUDENTS were told to Use a real coin or a coin-flipping program. A. Compile CINDYS AND MARYS results below and make a histogram. What
THE STUDENTS were told to Use a real coin or a coin-flipping program.
A. Compile CINDYS AND MARYS results below and make a histogram. What range of values would you expect in the histogram?
For example, would you expect a classmates trial to have 1 heads and 9 tails? -
B. ALSO; Gather CINDYS AND MARYS results below: and Develop a frequency distribution of the number of heads.
What are the characteristics of a normal distribution?
Does this distribution seem to approximate the normal distribution? Why or why not? ... ..
CINDYS CALCULATOR response:
1. A fair coin has a 50% chance of falling on either heads or tails, so you would anticipate getting five heads each time
. 2. No, receiving a different number of heads than anticipated does not indicate that you made a mistake. This is due to the fact that coin tosses never guarantee an exact split between heads and tails, even with a fair coin.
3. No, having three consecutive heads has no bearing on the likelihood of having a tails flip. The likelihood of receiving heads or tails is constant regardless of the results of prior flips since each coin flip is independent of the others.
MARYS CALCULATED response:
Coin Flipping Trials -
First trial - 5 out of 10 times
Second trial - 7 out of 10 times
Third trial - 6 out 10 times.
Fourth trial - 3 out 10 times
Fifth trial - 5 out 10 times 1.
I would expect to get 3 or 5 heads each times. Less probability of getting heads and more getting tails. It turned the opposite for the results. Instinct tells us we would at least get 50 % of heads because there is only two possible ways. And most of my trials showed heads was becoming the side it favored.
2. No, it is not wrong, and the coin toss can have many outcomes. It can be an expected value since there is only two ways to get results. We could have any possible outcome when it comes to flipping the coin. There is never a right or wrong answer regarding the probability of getting the expected number of heads.
3. There is a probability to get a tail after the three heads. I noticed once I got two heads in a row it kind of stayed with that method. The probability seemed lower than usually because heads was more a possibility. The chance you would get 3 heads in the first row it would be 1/8 possibility. So there would be a 50% chance they would get tails on the fourth turn.
4. I would think the number of students who participated in this experiment. The other value would show the overall value for Heads. I would think no to getting 1 Head or nine tails in the overall data. But we may never know if everyones data can be different based on their results.
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