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Suppose you participate in a chess tournament in which you play n games. Since you are a very average player, each game is equally likely to be a win, a loss, or a tie. You collect 2 points for each win, 1 point for each tie, and 0 points for each loss. The outcome of each game is independent of the outcome of every other game. Let Xi be the number of points you earn for game i and let Y equal the total number of points earned over the n games.
(a) Find the moment generating functions φXi(s) and φY (s).
(b) Find E[Y] and Var[Y].
Suppose you purchase two microwaves that were produced at the same factory, which is equally likely to have been either factory A or factory B. If the first microwave that you check is defective, what is the conditional probability that the other ..
U.S. Population The population of the United States by race in 2000 and the projected population by race for the year 2025 are given below (in thousands)
Based on these data, what is the probability that next Christmas will be dry and based on the data,what is the probability that next Christmas will be rainy or cloudy and dry?
a study on students drinking habits asks a random sample of 40 greek ones who belong to a fraternity or sorority uf
This assessment task covers topic 3, and has been designed to ensure that you are engaging with the subject content on a regular basis. More specifically it seeks to assess your ability to:
Top-grade offering a new shipping option. When an order is placed, top-grade will ship one third of the order every week for three weeks instead of at one time. What is the order quantity if Omar chooses to use this option? To simplify your calcul..
question 1 the manager of a famous food outlet conducted a survey and took a sample of 13 customersrsquo spending at
The mathematics SAT scores of the seven students in a mathematics seminar are 533, 553, 578, 586, 619, 626, and 633. Suppose that the student with the score of 533 drops the seminar and is replaced by a student with a score of 765.
an oil exploration firm is formed with enough capital to finance ten explorations. the probability of a particular
the average time it takes for a person to experience pain relief from aspirin is 25 minutes. a new ingredient is added
The average weight of the sample is 10.2 g, and the standard deviation of weight among mice is 2 g. Find a 95% confidence interval for the mean weight of all the mice in the shipment.
The scores on a scholastic achievement test were normally distributed with mean 520 and standard deviation 94. (a) If your score was 700, by how many standard deviations did it exceed the average score?
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