Question

Consider the following three sequences of one hundred heads and tails each: Sequence #1: HTTHHHTTHTTHHTTHTTHTTTTHHHTTTHHTHTTHHTTTTHTTTTTHHT HTHTHHHTTTHTHHTHHTHHTHTTHTTHTTHHHHHHHTHHTTTTTHHHHH...

Consider the following three sequences of one hundred heads and tails each:

Sequence #1:

    HTTHHHTTHTTHHTTHTTHTTTTHHHTTTHHTHTTHHTTTTHTTTTTHHT
    HTHTHHHTTTHTHHTHHTHHTHTTHTTHTTHHHHHHHTHHTTTTTHHHHH

Sequence #2:

    HHTHTTTHTTHTHHHTTTHTTHHHTHTTTHTHHHTHTHTTTHTTTTHHHT
    THTTTHTTHHHTHTHHTTTHHHTTTHTHTTHTHTHTTTHTTHHTHHTTTH

Sequence #3:

    THTHTHHTHHHTTTHHHTTTTTTTTTHHHTTTHHHTHTHHHTHTTTHTHH
    THTTHHHTTTTTTTHHTHHHHHTHHHHHHHHTHHHHHTTHHHHTTHTTHT

At least one of these sequences was generated by actually tossing a quarter one hundred times, and at least one was generated by a human sitting at a computer and hitting the “H” and “T” keys one hundred times between them and trying (possibly not very hard) to make it seem random.

1. Try to figure out which of these sequences were generated by actually tossing a coin and which were generated a human trying to be random. Give your reasoning! [10]

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Sequence 1 and Sequence 2 appears to be the ones generated by actually tossing a coin. In these, the distribution of heads and tails is pretty much even and there are no long sequences of heads or tails. In a random sequence, we dont expect to see same outcome repeating many times in a row.

Sequence 3 appears to be the one generated by a human typing. There is a string of 9 T's and another string of 8 H's etc in the sequence. This does not appear random. We dont expect the human typing scenario to be completely random. Therefore, sequence 3 is most likely the one created by human typing.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let H (Heads) and T (Tails) denote the two outcomes of a random experiment of tossing...
Let H (Heads) and T (Tails) denote the two outcomes of a random experiment of tossing a fair coin. Suppose I toss the coin infinite many times and divide the outcomes (which are infinite sequences of Heads and Tails) into two types of events: (a) the portion of H or T of is exactly one half (e.g.HTHTHTHT... or HHTTHHTT...) (b) the portion of H or T is not one half (i.e. the complement of event (a). e.g. HTTHTTHTT...). What are...
You are flipping a fair coin with one side heads, and the other tails. You flip...
You are flipping a fair coin with one side heads, and the other tails. You flip it 30 times. a) What probability distribution would the above most closely resemble? b) If 8 out of 30 flips were heads, what is the probability of the next flip coming up heads? c) What is the probability that out of 30 flips, not more than 15 come up heads? d) What is the probability that at least 15 out 30 flips are heads?...
One fair coin and two unfair coins where heads is 5 times as likely as tails...
One fair coin and two unfair coins where heads is 5 times as likely as tails are put into a bag. One coin is drawn at random and then flipped twice. If at least one of the flips was tails, what is the probability an unfair coin was flipped? Every day, Janet either takes the bus or drives her car to work. She drives her car 30% of the time. When she drives her car, she packs her lunch 70%...
Consider two coins, one fair and one unfair. The probability of getting heads on a given...
Consider two coins, one fair and one unfair. The probability of getting heads on a given flip of the unfair coin is 0.10. You are given one of these coins and will gather information about your coin by flipping it. Based on your flip results, you will infer which of the coins you were given. At the end of the question, which coin you were given will be revealed. When you flip your coin, your result is based on a...
Task 1: Read each of the scenarios. Explain how one or both fit into one of...
Task 1: Read each of the scenarios. Explain how one or both fit into one of the three theories illustrated by the experiments. Be specific using at least two (2) psychological terms (underline/boldface them), the psychologist and his experiment (underline/boldface them), and the evidence that supports or refutes what the experiment theorized. Be sure to illustrate the scenario and the specific parts of the scenarios as they fit into your explanation so I can see your full understanding. Task 2:...
Do the following problems. 1. Each of three barrels from a manufacturing line are classified as...
Do the following problems. 1. Each of three barrels from a manufacturing line are classified as either above (a) or below (b) the target weight. Provide the ordered sample space. 2. The heat on each of two soldered parts is measured and labeled as either low (l), medium (m), or high (h). State the number of elements in the ordered sample space. 3. Consider the set of Beatles songs with a primary writer as either Paul McCartney (P) or John...
PART 1: Sampling How we select our sample will directly influence the external validity of the...
PART 1: Sampling How we select our sample will directly influence the external validity of the study. If a sample is representative, then our external validity is stronger. If a sample is non-representative, then our external validity is weaker. QUESTIONS: 1. You are interested in looking at the relationship between student-to-teacher ratio and GPA at California 2- and 4-year colleges. You suspect that average GPA is higher at 2-year colleges where student-to-teacher ratio is low, relative to 4-year colleges colleges...
Please answer the following Case analysis questions 1-How is New Balance performing compared to its primary...
Please answer the following Case analysis questions 1-How is New Balance performing compared to its primary rivals? How will the acquisition of Reebok by Adidas impact the structure of the athletic shoe industry? Is this likely to be favorable or unfavorable for New Balance? 2- What issues does New Balance management need to address? 3-What recommendations would you make to New Balance Management? What does New Balance need to do to continue to be successful? Should management continue to invest...
What tools could AA leaders have used to increase their awareness of internal and external issues?...
What tools could AA leaders have used to increase their awareness of internal and external issues? ???ALASKA AIRLINES: NAVIGATING CHANGE In the autumn of 2007, Alaska Airlines executives adjourned at the end of a long and stressful day in the midst of a multi-day strategic planning session. Most headed outside to relax, unwind and enjoy a bonfire on the shore of Semiahmoo Spit, outside the meeting venue in Blaine, a seaport town in northwest Washington state. Meanwhile, several members of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT