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In a 10 floor dormitory, each floor has 10000 rooms and all the rooms have series numbers. Assume that 10 people are arranged to reside in each floor, answer the following questions about the ways for allocating tenants into the rooms.
A) if the names of these 100 people are unknown and the number of people living in a room is unlimited , then are there how many ways to distribute the students?
B) if the names of these 100 people in the building are still unknown but a room is allowed to lodge one tenant at most , then are there how many ways of room occupation?
C) the allocation manners of (b) are included in that of (a) and takes up the major part of(a), prove the statement.
A company has set a goal of developing a battery that lasts over 5 hours in continuous use in a sample of 42 of these batteries the mean life time was 306.25 hours with a standard deviation of 29.31
would this prove that they are exceeding their goal, using = .025?
Obtain a test statistic and p-value assuming equal variances. Interpret these results.
The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals:
What is the standard error of estimate? Describe with an example. What are the coefficients of the linear regression model and what do they mean? What are the various statistics reported in a regression output?
A standard for full credibility of 1,000 claims has been selected so that the actual pure premium will be within 10% of the expected pure premium 95% of the time. The number of claims has the Poisson distribution. Determine the coeffcient of vari..
At.01 level of significance, is proportion of seeds which germinate dependent on seed type?
A game involving a pair of dice pays you 3 with probability 17/36, costs you 2 with probability 14/36, and costs you 4 with probability 5/36. What is your probability of losing money in one play of the game?
What would you recommend Taylor do to cut back its labor cost? (Illustrate using an ABC plan.)
Differentiate between the levels of measurement by providing an example of data which can be transformed from one level of measurement to another and another example of data that cannot be transformed.
The data consists of random sample of 30 households from the 2007 American Community Survey. Construct a frequency distribution and a histogram for each data set.
If two independent large samples are taken from two populations, the sampling distribution of the difference between the two sample means:
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