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suppose we first generate a random variable U from a uniform distribution on the interval(0,1).then we define a transformation x=(1-U)^-1/theta where theta>0. next suppose that x1,x2,x3,...are a random variables having the same distribution x.what is the pdf of x?
find the fishers information in each Xi.
Which of the following is NOT a potential source of survey error?
a moving company wishes to design an open-top-box with square base whose volume is exactly 32 cubic feet. find the dimensions of the box requiring the least amount of materials.
Find lim (x->infinity) p1000(x). What can you say about |p1000(x) - sin(x)|for large values of x?
Calculate the mean of the distribution of sample means and the population mean.
The derivative from the rate of changes
If we are conducting a hypothesis test of a single proportion to determine if the proportion of late arrivals has increased: What is the value of the calculated test statistic?
What is the principle of powers? Describe in your own words. When solving a radical equation, how do we use the principle of powers to eliminate radicals? Demonstrate with an example.
A rectangular swimming pool 16 m by 11 m is being filled at the rate of 0.4 m3/min. How fast is the height h of the water rising?
Set up an equation and solve the following problem. The length of a rectangular floor is 8 meter less than twice its width. If a diagonal of the rectangle is20 meters, find the length and width of the floor.
A rectangular parcel of land has an area of 5000 ft^2. A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. What are the dimensions of the land, rounded to the nearest foot?
A person is given 4 coins each with equal and independent probabilities of being a nickel , a penny, a dime or a quarter. What is the probability the person has been 37 cents
Determine if the following conforms to the intermediate value theorem. Clearly give the conditions and, if appropriate, find an appropriate value for c.
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