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1. In the partially ordered set N × N with the ordering ( j, k) ≤ (m, n) iff j ≤ m and k ≤ n, consider the sequence (n, n), for n = 0, 1, 2,... . Describe all the maximal chains that include the given sequence. Do any of these chains have upper bounds?
2. Find a partially ordered set (X, ≤), with as few elements as possible, for which the hypothesis of Zorn's lemma holds (every chain has an upper bound) but which does not have a maximum.
significance level α = 0.01 and a degree of freedom = 11. In this situation, the null hypothesis that the observed distribution is the same as the expected distribution is?
The time until a component is taken out of service is uniformly distributed on 0 to 8 hours. Two such independent components are put in series, and the whole system goes down when one of the components goes down.
A questionnaire will be published and the first 1000 completed questionnaires will be analyzed. Which of the following errors will be associated with the sample?
Use the 5% level of significance. (a) Define null and alternate hypotheses. (b) Determine the value of sample test statistic? (c) Determine(or estimate) P-value.
the table summarizes data on smoking status and perceived risk of smoking and is consistent with summary quantities
The weights (in grams) of four different colors of M&M candies are given below, along with the mean weight and variance of each color, and the variance of the sample means.
Among 12 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 12 adults are randomly selected, 3 or fewer are in excellent health.
For planning purposes, the hospital physician staff wold like to know the probability that a given patient is a smother is the patient has a serious illness.
the length of time in seconds that a user views a page on a web site before moving to another page is a lognormal
Of the next 15 people that invest in this project, what is the probability that 5 or less people will result an annual net cash flow of at least $100,000.
During normal business hours on the east coast, calls to the toll-free reservation number of the Nite Time Inn that the numb roy calls per minute can be described by the Poisson distribution.
Cooper Construction is considering purchasing new, technologically advanced equipment. The equipment will cost $625,000 with a salvage value of $50,000 at the end of its useful life of 10 years. The equipment is expected to generate additional ann..
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