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A perpetual craps game goes on at Charley's. Jones comes into Charley's on an evening when there have already been 100 plays. He plans to play until the next time that snake eyes (a pair of ones) are rolled. Jones wonders how many times he will play. On the one hand he realizes that the average time between snake eyes is 36 so he should play about 18 times as he is equally likely to have come in on either side of the halfway point between occurrences of snake eyes. On the other hand, the dice have no memory, and so it would seem that he would have to play for 36 more times no matter what the previous outcomes have been. Which, if either, of Jones's arguments do you believe? Using the result of Exercise 17, calculate the expected to reach snake eyes, in equilibrium, and see if this resolves the apparent paradox. If you are still in doubt, simulate the experiment to decide which argument is correct. Can you give an intuitive argument which explains this result?
A sample of size 9 is drawn at random from a Normal distribution. The experiment has a null hypothesis of μ = 0 and an alternate hypothesis of μ > 0. The mean of the sample is 7 with an s of 8. Is there a difference at the 1% level?
In an ABCNews.com nationwide poll done in 2001, the proportion of respondents who thought that it should be illegal to use a hand held cell phone while driving a car was 69 %. The poll's sample was 1027.
What was the highest score earned on the exam? According to Chebyshev's Theorem, how many students scored between 42 and 74?
a brewerys filling machine is adjusted to fill bottles with a mean of 31.2 oz. of ale and a variance of 0.003.
a computer system requires all uses to log on using a 6 character password. if each character can be either a digit
mimi just started her tennis class three weeks ago. on average she is able to return 15 of her opponents serves. if
What shape curve do you get when your data set has the mean, median, and mode all with the same value? Could the value of the sample mean and the value of the population mean ever be the same?
a manufacturer of disk controllers subjects each new controllers to rigorous testing. of newly assembled controllers 84
consider a virus that is spread by transfusions of blood contaminated by the virus a person receiving contaminated
a study was recently conducted at a major university to determine whether there is a difference in the proportion of
Calculate the horizontal component of the initial velocity of the shell.
Some students planned a get together, the budget for food was $500.00. Five of the students failed to come because of the distance ad therefore the cost of food for each member increased by $5.00.
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