Question

In: Statistics and Probability

Suppose 200 people are lined up side-by-side, each one holding a fair coin. Each person flips...

Suppose 200 people are lined up side-by-side, each one holding a fair coin. Each person flips their coin 64 times; every time it lands heads they step 1 meter forward, each time it lands tails they step 1 meter backward. Use a normal approximation to answer the following question: after everyone finishes their 64 steps, approximately how many people will be standing between 4 and 8 meters behind the starting line? (Round your answer to three decimal places. Example: if the true answer is 2/3, you should enter 0.667.)

Solutions

Expert Solution

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Suppose 200 people are lined up side-by-side, each one holding a fair coin. Each person flips...
Suppose 200 people are lined up side-by-side, each one holding a fair coin. Each person flips their coin 64 times; every time it lands heads they step 1 meter forward, each time it lands tails they step 1 meter backward. Use a normal approximation to answer the following question: after everyone finishes their 64 steps, approximately how many people will be standing between 4 and 8 meters behind the starting line?
In a sequence of independent flips of a fair coin thwr comes up heads with probability...
In a sequence of independent flips of a fair coin thwr comes up heads with probability 0.6, what is the probability that there is a run of three consecutive heads within the first 10 flips? Show a Markov chain that counts the number of consecutive heads attained.
Consider a series of 8 flips of a fair coin. Plot the entropy of each of...
Consider a series of 8 flips of a fair coin. Plot the entropy of each of the 8 possible outcomes. Entropy is in J/K×1023J/K×1023 Entropy Number of heads012345678012345678910
Suppose 4 people each start with $10. In each of 2 periods, each person flips a...
Suppose 4 people each start with $10. In each of 2 periods, each person flips a coin (50% probability of heads or tails). a. Suppose that each time a person flips heads, their wealth increases by 70%. If they flip tails, their wealth decreases by 30%. On average, what fraction (or percentage) of the total wealth would you expect the richest person to have in each period? (Show how you calculated the answer.) (1 pt) b. Now, repeat the exercise...
(Expected values) Suppose you roll a fair die and your opponent flips a fair coin simultaneously....
(Expected values) Suppose you roll a fair die and your opponent flips a fair coin simultaneously. You win $4 whenever a Head appears and the number of dots on the top face of the dice is either one or six. For all other outcomes, you lose $1. (a) (2pts) How many possible outcomes are there? An outcome is the combined result of both coin-flipping and dice-rolling. (b) (3pts) What is your expected payoff? (c) (3pts) What is your opponent’s expected...
A fair coin is flipped six times. The outcomes of the coin flips form a palindrome...
A fair coin is flipped six times. The outcomes of the coin flips form a palindrome if the sequence of T’s and H’s reads the same forwards and backwards, e.g. THTTHT. Let A denote the event that the first, second and fourth flips are all ‘T’. Let Z denote the event that the six flips form a palindrome. (a) Is A independent of Z? (b) Is A independent of Z? (c) A fair coin flipped six times and a certain...
There is a fair coin and a biased coin that flips heads with probability 1/4.You randomly...
There is a fair coin and a biased coin that flips heads with probability 1/4.You randomly pick one of the coins and flip it until you get a heads. Let X be the number of flips you need. Compute E[X] and Var[X]
Suppose 6 people will be lined up to get on a bus. Find the number of...
Suppose 6 people will be lined up to get on a bus. Find the number of different ways they can be ordered under the following contitions. a) If 3 specific persons, among 6, insist on following each other, how many ways are possible? b) If 2 specific persons, among 6, refuse to follow each other, how many ways are possible?
Q. (a) Tegan is trying to decide if a coin is fair. She flips it 100...
Q. (a) Tegan is trying to decide if a coin is fair. She flips it 100 times and gets 63 heads. Please explain why it might make sense to view 63 heads as enough evidence to conclude the coin is unfair. (b) Leela is trying to decide if a coin is fair. She flips it 100 times and gets 63 heads. Please explain why it might NOT make sense to view 63 heads as enough evidence to conclude the coin...
In a sequence of independent flips of a fair coin, let N denote the number of...
In a sequence of independent flips of a fair coin, let N denote the number of flips until there is a run of three consecutive heads. Find P(N ≤ 8). (Should write out transition matrix.)
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT