You suspect that a coin is biased such that the probability heads is flipped (instead of...
You suspect that a coin is biased such that the probability heads is flipped (instead of tails) is 52%. You flip the coin 51 times and observe that 31 of the coin flips are heads. The random variable you are investigating is defined as X = 1 for heads and X = 0 for tails, and you wish to perform a "Z-score" test to test the null hypothesis that H0: u = 0.52 vs. the alternative hypothesis Ha: u > 0.52. What is the Z-score for this test?
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You suspect that a coin is biased such that the probability
heads is flipped (instead of...
You have a biased coin, where the probability of flipping a heads is 70%. You flip...
You have a biased coin, where the probability of flipping a heads is 70%. You flip once, and the coin comes up tails. What is the expected number of flips from that point (so counting that as flip #0) until the number of heads flipped in total equals the number of tails?
Assume that a coin is flipped where the probability of coin lands "Heads" is 0.49. The...
Assume that a coin is flipped where the probability of coin lands "Heads" is 0.49. The coin is flipped once more. This time, the probability of obtaining the first flip's result is 0.38. The random variable X is defined as the total number of heads observed in two flips. On the other hand, the random variable Y is defined as the absolute difference between the total number of heads and the total number of tails observed in two flips. Calculate...
You have a biased coin where heads come up with probability 2/3 and tails come up with probability 1/3. 2. Assume that you flip the coin until you get three heads or one tail. (a) Draw the possibilit...
You have a biased coin where heads come up with probability 2/3
and tails come up with probability 1/3.
2. Assume that you flip the coin until you get three heads or one tail. (a) Draw the possibility tree. (b) What is the average number of flips? Use the possibility tree, and show your calculation.
2. Assume that you flip the coin until you get three heads or one tail. (a) Draw the possibility tree. (b) What is the average...
Answer part a and part b please!!! (a) What is the conditional probability that exactly four Tails appear w when a fair coin is flipped six times, given that the first flip came up Heads? (I.e. the co...
Answer part a and part b
please!!!
(a) What is the conditional probability that exactly four Tails appear w when a fair coin is flipped six times, given that the first flip came up Heads? (I.e. the coin , then is flipped five more times with Tails appearing exactly lour times.) (b) What if the coin is biased so that the probability of landing Heads is 1/3? (Hint: The binomial distribution might be helpful here.)
(a) What is the conditional...
A coin was flipped 56 times and came up heads 36 times. At the .10 level...
A coin was flipped 56 times and came up heads 36 times. At the .10 level of significance, is the coin biased toward heads? (a-1) H0: formula130.mml ? .50 versus H1: formula130.mml > .50. Choose the appropriate decision rule at the .10 level of significance. a. Reject H0 if z >1.282 b. Reject H0 if z < 1.282......... a or b (a-2) Calculate the test statistic. (Carry out all intermediate calculations to at least 4 decimal places. Round your answer...
Suppose we suspect a coin is not fair we suspect that it has larger chance of...
Suppose we suspect a coin is not fair we suspect that it has larger chance of getting tails than heads, so we want to conduct a hypothesis testing to investigate this question. a:(4 pts) Let p be the chance of getting heads, write down the alternative hypothesis Ha and the null hypothesis Ho in terms of p. b: (5 pts) In order to investigate this question, we flip the coin 100 times and record the observation. Suppose we use T...
Suppose you and your roommate use a coin-flipping app to decide who has to take out...
Suppose you and your roommate use a coin-flipping app to decide who has to take out the trash: heads you take out the trash, tails your roommate does. After losing a number of flips, you start to wonder if the coin-flipping app really is totally random, or if it is biased in one direction or the other. To be fair to your roommate, you wish to test whether the app is biased in either direction, and thus a two-tailed test...
Question 4 (a) If a coin is flipped, the probability of it landing on heads on...
Question 4 (a) If a coin is flipped, the probability of it landing on heads on any flip is 0.4. After 20 coin flips, determine the probability that: () There are exactly 2 heads. (ii) There are exactly 10 heads. (iii) 'There are between 3 and 7 heads. [12 marks] (b) In a bolt factory there are three machines: A, B and C. Machines A, B and C manufacture 20,30 and 50% respectively of the total output. Of their outputs,...
A coin that comes up heads with probability p is flipped n consecutive times. What is...
A coin that comes up heads with probability p is flipped n consecutive times. What is the probability that starting with the first flip there are always more heads than tails that have appeared?
Question 2 Suppose you have a fair coin (a coin is considered fair if there is...
Question 2 Suppose you have a fair coin (a coin is considered fair if there is an equal probability of being heads or tails after a flip). In other words, each coin flip i follows an independent Bernoulli distribution X Ber(1/2). Define the random variable X, as: i if coin flip i results in heads 10 if coin flip i results in tails a. Suppose you flip the coin n = 10 times. Define the number of heads you observe...
Assume that a coin is flipped where the probability of coin lands "Heads" is 0.49. The coin is flipped once more. This time, the probability of obtaining the first flip's result is 0.38. The random variable X is defined as the total number of heads observed in two flips. On the other hand, the random variable Y is defined as the absolute difference between the total number of heads and the total number of tails observed in two flips. Calculate...
You have a biased coin where heads come up with probability 2/3
and tails come up with probability 1/3.
2. Assume that you flip the coin until you get three heads or one tail. (a) Draw the possibility tree. (b) What is the average number of flips? Use the possibility tree, and show your calculation.
2. Assume that you flip the coin until you get three heads or one tail. (a) Draw the possibility tree. (b) What is the average...
Answer part a and part b
please!!!
(a) What is the conditional probability that exactly four Tails appear w when a fair coin is flipped six times, given that the first flip came up Heads? (I.e. the coin , then is flipped five more times with Tails appearing exactly lour times.) (b) What if the coin is biased so that the probability of landing Heads is 1/3? (Hint: The binomial distribution might be helpful here.)
(a) What is the conditional...
Suppose we suspect a coin is not fair we suspect that it has larger chance of getting tails than heads, so we want to conduct a hypothesis testing to investigate this question. a:(4 pts) Let p be the chance of getting heads, write down the alternative hypothesis Ha and the null hypothesis Ho in terms of p. b: (5 pts) In order to investigate this question, we flip the coin 100 times and record the observation. Suppose we use T...
Question 4 (a) If a coin is flipped, the probability of it landing on heads on any flip is 0.4. After 20 coin flips, determine the probability that: () There are exactly 2 heads. (ii) There are exactly 10 heads. (iii) 'There are between 3 and 7 heads. [12 marks] (b) In a bolt factory there are three machines: A, B and C. Machines A, B and C manufacture 20,30 and 50% respectively of the total output. Of their outputs,...
Question 2 Suppose you have a fair coin (a coin is considered fair if there is an equal probability of being heads or tails after a flip). In other words, each coin flip i follows an independent Bernoulli distribution X Ber(1/2). Define the random variable X, as: i if coin flip i results in heads 10 if coin flip i results in tails a. Suppose you flip the coin n = 10 times. Define the number of heads you observe...
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