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Question: 1) For the daily lottery game in Illinois, participants select three numbers between 0 and 9. A number cannot be selected more than once, so a winning ticket could be, say, 307 but not 337. Purchasing one ticket allows you to select one set of numbers. The winning numbers are announced on TV each night.
a. How many different outcomes (three-digit numbers) are possible?
b. If you purchase a ticket for the game tonight, what is the likelihood you will win?
c. Suppose you purchase three tickets for tonight's drawing and select a different number for each ticket. What is the probability that you will not win with any of the tickets?
When testing the hypothesis (at the 5% level of significance) that the variance of the amount spent on trips is significantly larger in one department than the other, what is the null and alternative hypotheses? (please write out the null and alte..
Customers arrive according to a Poisson process with rate λ = 5 per hour in a system with two servers. The probability that an arbitrary customer goes to server no. 1 (respectively, no. 2) is equal to 3/4 (resp., 1/4).
1. Given the recurrence relations. Find T(1024).
1) What is the purpose of calculating a test statistic? How does this value describe how the sample data either supports or contradicts a claim?
Explain how to test the hypothesis of no differences in the mean proportions of mouth fixations for the four background noise levels.
Suppose a single die is rolled once. You win $5 if a 1 or a 3 comes up, win $12 if a 5 comes up and lose $10 if a 2, 4, or 6 come up. What does the expected value tell you about the game?
Lakewood fashions must decide how many lots of assorted ski wear to order for its 3 stores.Information on pricing, sales and inventory costs has led to the following payoff table,in thousands.
the mean iq is 100 with a standard deviation of 14. suppose iq scores are normally distributed. if your iq is 116 what
1. State the Null Hypothesis and the Alternative Hypothesis
Two manufacturing facilities produce 1280 × 1024 LED (light-emitting diode) displays. Twelve displays are chosen at random from each lab, and the number of bad pixels is noted for each display.
scores on a standard test are normally distributed with a mean of 104 and a standard deviation of 15. an individuals
1. A random sample of 100 observations from a Poisson distribution has a mean equal to 6.25. Construct an approxi mate 95 percent confidence interval for the mean of the distribution.
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