Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
kathyp
Group Title
ou are shown a coin that its owner says is fair in the
sense that it will produce the same number of heads
and tails when flipped a very large number of times.
a. Describe an experiment to test this claim.
b. What is the population in your experiment?
 27 days ago
 27 days ago
kathyp Group Title
ou are shown a coin that its owner says is fair in the sense that it will produce the same number of heads and tails when flipped a very large number of times. a. Describe an experiment to test this claim. b. What is the population in your experiment?
 27 days ago
 27 days ago

This Question is Open

JimQ Group TitleBest ResponseYou've already chosen the best response.0
In this case, the commonsense approach is correct. Flip the coin a great many times. See if the resulting number of heads is close to 50%. This is classic 'Bernoulli trials' experiment, because there are two possible outcomes. The populations is the number of flips (events). Use the binomial distribution to determine how likely the result (or one more extreme) is to occur with a fair coin. For example, if you flip the coin 8 times and get heads once, sum the probability of getting zero or one heads in 8 tosses of a fair coin. (.035) So a fair coin would only give these results 3.5% of the time. (do you have this equation in your textbook?) A common acceptance criteria is 5%, so many would reject the coin as likely unfair. Experimenter must determine the appropriate number of tosses and the 'acceptance criteria' based on the amount of time available for testing and the impact of reaching a wrong conclusion. I hope this helps. There are different levels of detail that could be applied depending on what you are studying.
 26 days ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.